365620 has 24 divisors (see below), whose sum is σ = 779688. Its totient is φ = 144000.

The previous prime is 365611. The next prime is 365627. The reversal of 365620 is 26563.

It can be written as a sum of positive squares in 4 ways, for example, as 26896 + 338724 = 164^2 + 582^2 .

It is a junction number, because it is equal to n+sod(n) for n = 365591 and 365600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (365627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1930 + ... + 2110.

It is an arithmetic number, because the mean of its divisors is an integer number (32487).

2³⁶⁵⁶²⁰ is an apocalyptic number.

It is an amenable number.

365620 is an abundant number, since it is smaller than the sum of its proper divisors (414068).

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

365620 is a wasteful number, since it uses less digits than its factorization.

365620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 365620 is about 604.6651966171. The cubic root of 365620 is about 71.5061366927.

The spelling of 365620 in words is "three hundred sixty-five thousand, six hundred twenty".