964731968 has 56 divisors (see below), whose sum is σ = 1979660760. Its totient is φ = 466145280.

The previous prime is 964731959. The next prime is 964731983. The reversal of 964731968 is 869137469.

It can be written as a sum of positive squares in 4 ways, for example, as 266081344 + 698650624 = 16312^2 + 26432^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284330 + ... + 287702.

It is an arithmetic number, because the mean of its divisors is an integer number (35351085).

Almost surely, 2^964731968 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 964731968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989830380).

964731968 is an abundant number, since it is smaller than the sum of its proper divisors (1014928792).

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

964731968 is a wasteful number, since it uses less digits than its factorization.

964731968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535 (or 3525 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 53.

The square root of 964731968 is about 31060.1347067266. The cubic root of 964731968 is about 988.1030123104.

The spelling of 964731968 in words is "nine hundred sixty-four million, seven hundred thirty-one thousand, nine hundred sixty-eight".