957129216 has 80 divisors (see below), whose sum is σ = 2632236288. Its totient is φ = 308736000.

The previous prime is 957129193. The next prime is 957129233. The reversal of 957129216 is 612921759.

It is a super-2 number, since 2×957129216² = 1832192672241549312, which contains 22 as substring.

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, 37566 + ... + 57666.

Almost surely, 2^957129216 is an apocalyptic number.

957129216 is a gapful number since it is divisible by the number (96) 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 957129216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316118144).

957129216 is an abundant number, since it is smaller than the sum of its proper divisors (1675107072).

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

957129216 is a wasteful number, since it uses less digits than its factorization.

957129216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20153 (or 20137 counting only the distinct ones).

The product of its digits is 68040, while the sum is 42.

The square root of 957129216 is about 30937.5050060602. The cubic root of 957129216 is about 985.5005198408.

The spelling of 957129216 in words is "nine hundred fifty-seven million, one hundred twenty-nine thousand, two hundred sixteen".