364364 has 54 divisors (see below), whose sum is σ = 876204. Its totient is φ = 131040.

The previous prime is 364349. The next prime is 364373. The reversal of 364364 is 463463.

364364 = T₅₅ + T₅₆ + ... + T₁₃₂.

364364 = 77² + 78² + ... + 115².

It is a super-2 number, since 2×364364² = 265522248992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 364364.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28022 + ... + 28034.

It is an arithmetic number, because the mean of its divisors is an integer number (16226).

2³⁶⁴³⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438102).

364364 is an abundant number, since it is smaller than the sum of its proper divisors (511840).

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

364364 is a wasteful number, since it uses less digits than its factorization.

364364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 33 counting only the distinct ones).

The product of its digits is 5184, while the sum is 26.

The square root of 364364 is about 603.6257118447. The cubic root of 364364 is about 71.4241620135.

Subtracting 364364 from its reverse (463463), we obtain a palindrome (99099).

The spelling of 364364 in words is "three hundred sixty-four thousand, three hundred sixty-four".