964704960 has 168 divisors, whose sum is σ = 3344820336. Its totient is φ = 255191040.

The previous prime is 964704931. The next prime is 964704977. The reversal of 964704960 is 69407469.

964704960 is a `hidden beast` number, since 96 + 4 + 70 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376002 + ... + 378558.

Almost surely, 2^964704960 is an apocalyptic number.

964704960 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 964704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672410168).

964704960 is an abundant number, since it is smaller than the sum of its proper divisors (2380115376).

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

964704960 is a wasteful number, since it uses less digits than its factorization.

964704960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 964704960 is about 31059.6999341591. The cubic root of 964704960 is about 988.0937914643.

The spelling of 964704960 in words is "nine hundred sixty-four million, seven hundred four thousand, nine hundred sixty".