65950560 has 216 divisors, whose sum is σ = 244599264. Its totient is φ = 16174080.

The previous prime is 65950487. The next prime is 65950571. The reversal of 65950560 is 6505956.

65950560 is a `hidden beast` number, since 6 + 5 + 95 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243225 + ... + 243495.

It is an arithmetic number, because the mean of its divisors is an integer number (1132404).

Almost surely, 2^65950560 is an apocalyptic number.

65950560 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 65950560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122299632).

65950560 is an abundant number, since it is smaller than the sum of its proper divisors (178648704).

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

65950560 is a wasteful number, since it uses less digits than its factorization.

65950560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 65950560 is about 8120.9950129279. The cubic root of 65950560 is about 404.0230683165.

It can be divided in two parts, 65 and 950560, that added together give a square (950625 = 975²).

The spelling of 65950560 in words is "sixty-five million, nine hundred fifty thousand, five hundred sixty".