364624 has 20 divisors (see below), whose sum is σ = 761236. Its totient is φ = 168192.

The previous prime is 364621. The next prime is 364627. The reversal of 364624 is 426463.

It is an interprime number because it is at equal distance from previous prime (364621) and next prime (364627).

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 336400 = 168^2 + 580^2 .

It is a super-2 number, since 2×364624² = 265901322752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364621) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 669 + ... + 1084.

2³⁶⁴⁶²⁴ is an apocalyptic number.

It is an amenable number.

364624 is an abundant number, since it is smaller than the sum of its proper divisors (396612).

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

364624 is a wasteful number, since it uses less digits than its factorization.

364624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1768 counting only the distinct ones).

The product of its digits is 3456, while the sum is 25.

The square root of 364624 is about 603.8410386849. The cubic root of 364624 is about 71.4411467383.

It can be divided in two parts, 36 and 4624, that multiplied together give a square (166464 = 408²).

The spelling of 364624 in words is "three hundred sixty-four thousand, six hundred twenty-four".