365520 has 40 divisors (see below), whose sum is σ = 1133856. Its totient is φ = 97408.

The previous prime is 365513. The next prime is 365527. The reversal of 365520 is 25563.

365520 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (365513) and next prime (365527).

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

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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 365520.

It is not an unprimeable number, because it can be changed into a prime (365527) by changing a digit.

365520 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 7 ways as a sum of consecutive naturals, for example, 522 + ... + 1001.

2³⁶⁵⁵²⁰ is an apocalyptic number.

365520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

365520 is an abundant number, since it is smaller than the sum of its proper divisors (768336).

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

365520 is a wasteful number, since it uses less digits than its factorization.

365520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 365520 is about 604.5825005737. The cubic root of 365520 is about 71.4996169311.

The spelling of 365520 in words is "three hundred sixty-five thousand, five hundred twenty".