964867968 has 96 divisors (see below), whose sum is σ = 2829074040. Its totient is φ = 315534336.

The previous prime is 964867933. The next prime is 964867987. The reversal of 964867968 is 869768469.

964867968 is a `hidden beast` number, since 96 + 486 + 7 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53155 + ... + 68957.

Almost surely, 2^964867968 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 964867968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414537020).

964867968 is an abundant number, since it is smaller than the sum of its proper divisors (1864206072).

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

964867968 is a wasteful number, since it uses less digits than its factorization.

964867968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15876 (or 15861 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The square root of 964867968 is about 31062.3239310905. The cubic root of 964867968 is about 988.1494416815.

The spelling of 964867968 in words is "nine hundred sixty-four million, eight hundred sixty-seven thousand, nine hundred sixty-eight".