957036096 has 63 divisors (see below), whose sum is σ = 2745300961. Its totient is φ = 318764544.

The previous prime is 957035987. The next prime is 957036127. The reversal of 957036096 is 690630759.

The square root of 957036096 is 30936.

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., 776402496 + 180633600 = 27864^2 + 13440^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 741820 + ... + 743108.

Almost surely, 2^957036096 is an apocalyptic number.

957036096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

957036096 is the 30936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 957036096

957036096 is an abundant number, since it is smaller than the sum of its proper divisors (1788264865).

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

957036096 is an equidigital number, since it uses as much as digits as its factorization.

957036096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The cubic root of 957036096 is about 985.4685587140.

The spelling of 957036096 in words is "nine hundred fifty-seven million, thirty-six thousand, ninety-six".