368560 has 40 divisors (see below), whose sum is σ = 910656. Its totient is φ = 138240.

The previous prime is 368551. The next prime is 368579. The reversal of 368560 is 65863.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 1225 + ... + 1495.

2³⁶⁸⁵⁶⁰ 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 368560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455328).

368560 is an abundant number, since it is smaller than the sum of its proper divisors (542096).

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

368560 is a wasteful number, since it uses less digits than its factorization.

368560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 368560 is about 607.0914263931. The cubic root of 368560 is about 71.6972887586.

The spelling of 368560 in words is "three hundred sixty-eight thousand, five hundred sixty".