365880 has 32 divisors (see below), whose sum is σ = 1098000. Its totient is φ = 97536.

The previous prime is 365851. The next prime is 365903. The reversal of 365880 is 88563.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 365880.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1405 + ... + 1644.

2³⁶⁵⁸⁸⁰ is an apocalyptic number.

365880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

365880 is an abundant number, since it is smaller than the sum of its proper divisors (732120).

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

365880 is a wasteful number, since it uses less digits than its factorization.

365880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 365880 is about 604.8801534188. The cubic root of 365880 is about 71.5230825111.

The spelling of 365880 in words is "three hundred sixty-five thousand, eight hundred eighty".