65520 has 120 divisors (see below), whose sum is σ = 270816. Its totient is φ = 13824.

The previous prime is 65519. The next prime is 65521. The reversal of 65520 is 2556.

65520 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (65519) and next prime (65521).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a nialpdrome in base 2, base 4, base 10 and base 16.

It is a zygodrome in base 2 and base 4.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 65493 and 65502.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 65 × 63 × 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5034 + ... + 5046.

2^{65520} is an apocalyptic number.

65520 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135408).

65520 is an abundant number, since it is smaller than the sum of its proper divisors (205296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65520 is a wasteful number, since it uses less digits than its factorization.

65520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 65520 is about 255.9687480924. The cubic root of 65520 is about 40.3141922852.

It can be divided in two parts, 65 and 520, that added together give a palindrome (585).

The spelling of 65520 in words is "sixty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 35 36 39 40 42 45 48 52 56 60 63 65 70 72 78 80 84 90 91 104 105 112 117 120 126 130 140 144 156 168 180 182 195 208 210 234 240 252 260 273 280 312 315 336 360 364 390 420 455 468 504 520 546 560 585 624 630 720 728 780 819 840 910 936 1008 1040 1092 1170 1260 1365 1456 1560 1638 1680 1820 1872 2184 2340 2520 2730 3120 3276 3640 4095 4368 4680 5040 5460 6552 7280 8190 9360 10920 13104 16380 21840 32760 65520

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