357968 has 20 divisors (see below), whose sum is σ = 747348. Its totient is φ = 165120.

The previous prime is 357967. The next prime is 357977. The reversal of 357968 is 869753.

It can be written as a sum of positive squares in 2 ways, for example, as 153664 + 204304 = 392^2 + 452^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 357968.

It is not an unprimeable number, because it can be changed into a prime (357967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 653 + ... + 1068.

2³⁵⁷⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

357968 is an abundant number, since it is smaller than the sum of its proper divisors (389380).

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

357968 is a wasteful number, since it uses less digits than its factorization.

357968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1736 counting only the distinct ones).

The product of its digits is 45360, while the sum is 38.

The square root of 357968 is about 598.3042704177. The cubic root of 357968 is about 71.0037688934.

The spelling of 357968 in words is "three hundred fifty-seven thousand, nine hundred sixty-eight".