964756920 has 128 divisors (see below), whose sum is σ = 3151872000. Its totient is φ = 235307520.

The previous prime is 964756913. The next prime is 964756943. The reversal of 964756920 is 29657469.

It is a self number, because there is not a number n which added to its sum of digits gives 964756920.

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, 58825 + ... + 73415.

It is an arithmetic number, because the mean of its divisors is an integer number (24624000).

Almost surely, 2^964756920 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 964756920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575936000).

964756920 is an abundant number, since it is smaller than the sum of its proper divisors (2187115080).

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

964756920 is a wasteful number, since it uses less digits than its factorization.

964756920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14653 (or 14649 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 964756920 is about 31060.5363765663. The cubic root of 964756920 is about 988.1115310613. Note that the first 3 decimals are identical.

The spelling of 964756920 in words is "nine hundred sixty-four million, seven hundred fifty-six thousand, nine hundred twenty".