957147968 has 168 divisors, whose sum is σ = 2320591752. Its totient is φ = 390168576.

The previous prime is 957147953. The next prime is 957147977. The reversal of 957147968 is 869741759.

It can be written as a sum of positive squares in 4 ways, for example, as 99361024 + 857786944 = 9968^2 + 29288^2 .

It is a super-2 number, since 2×957147968² = 1832264465293058048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

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 23 ways as a sum of consecutive naturals, for example, 8470280 + ... + 8470392.

Almost surely, 2^957147968 is an apocalyptic number.

957147968 is a gapful number since it is divisible by the number (98) 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 957147968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160295876).

957147968 is an abundant number, since it is smaller than the sum of its proper divisors (1363443784).

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

957147968 is a wasteful number, since it uses less digits than its factorization.

957147968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 232 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 56.

The square root of 957147968 is about 30937.8080671530. The cubic root of 957147968 is about 985.5069557482.

The spelling of 957147968 in words is "nine hundred fifty-seven million, one hundred forty-seven thousand, nine hundred sixty-eight".