65560 has 32 divisors (see below), whose sum is σ = 162000. Its totient is φ = 23680.

The previous prime is 65557. The next prime is 65563. The reversal of 65560 is 6556.

It is an interprime number because it is at equal distance from previous prime (65557) and next prime (65563).

It is a super-2 number, since 2×65560² = 8596227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 366 + ... + 514.

2⁶⁵⁵⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81000).

65560 is an abundant number, since it is smaller than the sum of its proper divisors (96440).

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

65560 is a wasteful number, since it uses less digits than its factorization.

65560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 65560 is about 256.0468707093. The cubic root of 65560 is about 40.3223945626.

It can be divided in two parts, 65 and 560, that added together give a 4-th power (625 = 5⁴).

The spelling of 65560 in words is "sixty-five thousand, five hundred sixty".