964072256 has 84 divisors (see below), whose sum is σ = 2239543908. Its totient is φ = 410554368.

The previous prime is 964072223. The next prime is 964072267. The reversal of 964072256 is 652270469.

It can be written as a sum of positive squares in 2 ways, for example, as 707560000 + 256512256 = 26600^2 + 16016^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 541640 + ... + 543416.

It is an arithmetic number, because the mean of its divisors is an integer number (26661237).

Almost surely, 2^964072256 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 964072256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119771954).

964072256 is an abundant number, since it is smaller than the sum of its proper divisors (1275471652).

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

964072256 is a wasteful number, since it uses less digits than its factorization.

964072256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 964072256 is about 31049.5129752465. The cubic root of 964072256 is about 987.8777296826.

The spelling of 964072256 in words is "nine hundred sixty-four million, seventy-two thousand, two hundred fifty-six".