364920 has 32 divisors (see below), whose sum is σ = 1095120. Its totient is φ = 97280.

The previous prime is 364919. The next prime is 364921. The reversal of 364920 is 29463.

364920 is nontrivially palindromic in base 9.

364920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (364919) and next prime (364921).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 364920.

It is not an unprimeable number, because it can be changed into a prime (364921) 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, 1401 + ... + 1640.

2³⁶⁴⁹²⁰ is an apocalyptic number.

364920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

364920 is an abundant number, since it is smaller than the sum of its proper divisors (730200).

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

364920 is a wasteful number, since it uses less digits than its factorization.

364920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 364920 is about 604.0860865804. The cubic root of 364920 is about 71.4604733687.

The spelling of 364920 in words is "three hundred sixty-four thousand, nine hundred twenty".