964688256 has 384 divisors, whose sum is σ = 3482818560. Its totient is φ = 249937920.

The previous prime is 964688237. The next prime is 964688261. The reversal of 964688256 is 652886469.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4249615 + ... + 4249841.

It is an arithmetic number, because the mean of its divisors is an integer number (9069840).

Almost surely, 2^964688256 is an apocalyptic number.

964688256 is a gapful number since it is divisible by the number (96) 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 964688256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741409280).

964688256 is an abundant number, since it is smaller than the sum of its proper divisors (2518130304).

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

964688256 is a wasteful number, since it uses less digits than its factorization.

964688256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 287 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 964688256 is about 31059.4310314919. The cubic root of 964688256 is about 988.0880884378.

The spelling of 964688256 in words is "nine hundred sixty-four million, six hundred eighty-eight thousand, two hundred fifty-six".