65760864 has 192 divisors, whose sum is σ = 203212800. Its totient is φ = 18450432.

The previous prime is 65760857. The next prime is 65760917. The reversal of 65760864 is 46806756.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 832377 + ... + 832455.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 2^65760864 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 65760864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101606400).

65760864 is an abundant number, since it is smaller than the sum of its proper divisors (137451936).

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

65760864 is a wasteful number, since it uses less digits than its factorization.

65760864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 65760864 is about 8109.3072453817. The cubic root of 65760864 is about 403.6353275608.

The spelling of 65760864 in words is "sixty-five million, seven hundred sixty thousand, eight hundred sixty-four".