964972096 has 63 divisors (see below), whose sum is σ = 2110750033. Its totient is φ = 437381120.

The previous prime is 964972093. The next prime is 964972097. The reversal of 964972096 is 690279469.

The square root of 964972096 is 31064.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 392040000 + 572932096 = 19800^2 + 23936^2 .

It is a super-2 number, since 2×964972096² = 1862342292117266432, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (964972091) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 2733456 + ... + 2733808.

Almost surely, 2^964972096 is an apocalyptic number.

964972096 is the 31064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 964972096

964972096 is an abundant number, since it is smaller than the sum of its proper divisors (1145777937).

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

964972096 is an equidigital number, since it uses as much as digits as its factorization.

964972096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 52.

The cubic root of 964972096 is about 988.1849872439.

The spelling of 964972096 in words is "nine hundred sixty-four million, nine hundred seventy-two thousand, ninety-six".