359568 has 60 divisors (see below), whose sum is σ = 1102608. Its totient is φ = 108480.

The previous prime is 359563. The next prime is 359581. The reversal of 359568 is 865953.

359568 is a `hidden beast` number, since 3 + 595 + 68 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (359561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1471 + ... + 1697.

2³⁵⁹⁵⁶⁸ 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 359568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551304).

359568 is an abundant number, since it is smaller than the sum of its proper divisors (743040).

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

359568 is a wasteful number, since it uses less digits than its factorization.

359568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 243 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 359568 is about 599.6398919352. The cubic root of 359568 is about 71.1093995537.

It can be divided in two parts, 3595 and 68, that added together give a palindrome (3663).

The spelling of 359568 in words is "three hundred fifty-nine thousand, five hundred sixty-eight".