359968 has 24 divisors (see below), whose sum is σ = 810432. Its totient is φ = 154176.

The previous prime is 359929. The next prime is 359981. The reversal of 359968 is 869953.

It is a super-2 number, since 2×359968² = 259153922048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 359968.

It is an unprimeable number.

359968 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 3 ways as a sum of consecutive naturals, for example, 580 + ... + 1027.

It is an arithmetic number, because the mean of its divisors is an integer number (33768).

2³⁵⁹⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

359968 is an abundant number, since it is smaller than the sum of its proper divisors (450464).

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

359968 is a wasteful number, since it uses less digits than its factorization.

359968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1616 counting only the distinct ones).

The product of its digits is 58320, while the sum is 40.

The square root of 359968 is about 599.9733327407. The cubic root of 359968 is about 71.1357582387.

The spelling of 359968 in words is "three hundred fifty-nine thousand, nine hundred sixty-eight".