957168 has 90 divisors (see below), whose sum is σ = 2969304. Its totient is φ = 287232.

The previous prime is 957161. The next prime is 957169. The reversal of 957168 is 861759.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (15120) is a multiple of the sum of its prime divisors (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (957161) by changing a digit.

957168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 17 ways as a sum of consecutive naturals, for example, 41605 + ... + 41627.

2⁹⁵⁷¹⁶⁸ 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 957168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484652).

957168 is an abundant number, since it is smaller than the sum of its proper divisors (2012136).

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

957168 is a wasteful number, since it uses less digits than its factorization.

957168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 45 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 957168 is about 978.3496307558. The cubic root of 957168 is about 98.5513830874.

The spelling of 957168 in words is "nine hundred fifty-seven thousand, one hundred sixty-eight".