364032 has 60 divisors (see below), whose sum is σ = 1063920. Its totient is φ = 119808.

The previous prime is 364031. The next prime is 364069. The reversal of 364032 is 230463.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 363996 and 364014.

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 364032.

It is not an unprimeable number, because it can be changed into a prime (364031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4569 + ... + 4647.

It is an arithmetic number, because the mean of its divisors is an integer number (17732).

2³⁶⁴⁰³² is an apocalyptic number.

364032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531960).

364032 is an abundant number, since it is smaller than the sum of its proper divisors (699888).

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

364032 is an equidigital number, since it uses as much as digits as its factorization.

364032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 364032 is about 603.3506443189. The cubic root of 364032 is about 71.4024620764.

Adding to 364032 its reverse (230463), we get a palindrome (594495).

The spelling of 364032 in words is "three hundred sixty-four thousand, thirty-two".