957768 has 32 divisors (see below), whose sum is σ = 2736960. Its totient is φ = 273600.

The previous prime is 957751. The next prime is 957769. The reversal of 957768 is 867759.

957768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 957768.

It is not an unprimeable number, because it can be changed into a prime (957769) by changing a digit.

957768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2683 + ... + 3018.

It is an arithmetic number, because the mean of its divisors is an integer number (85530).

2⁹⁵⁷⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

957768 is an abundant number, since it is smaller than the sum of its proper divisors (1779192).

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

957768 is a wasteful number, since it uses less digits than its factorization.

957768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5717 (or 5713 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 957768 is about 978.6562215610. The cubic root of 957768 is about 98.5719710715.

Subtracting from 957768 its reverse (867759), we obtain a palindrome (90009).

The spelling of 957768 in words is "nine hundred fifty-seven thousand, seven hundred sixty-eight".