964525320 has 448 divisors, whose sum is σ = 3701859840. Its totient is φ = 223948800.

The previous prime is 964525319. The next prime is 964525337. The reversal of 964525320 is 23525469.

964525320 is a `hidden beast` number, since 9 + 645 + 2 + 5 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×964525320² = 1860618185842204800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9943512 + ... + 9943608.

It is an arithmetic number, because the mean of its divisors is an integer number (8263080).

Almost surely, 2^964525320 is an apocalyptic number.

964525320 is a gapful number since it is divisible by the number (90) 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 964525320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850929920).

964525320 is an abundant number, since it is smaller than the sum of its proper divisors (2737334520).

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

964525320 is a wasteful number, since it uses less digits than its factorization.

964525320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 964525320 is about 31056.8079493048. The cubic root of 964525320 is about 988.0324558937.

The spelling of 964525320 in words is "nine hundred sixty-four million, five hundred twenty-five thousand, three hundred twenty".