364056 has 64 divisors (see below), whose sum is σ = 1140480. Its totient is φ = 94080.

The previous prime is 364031. The next prime is 364069. The reversal of 364056 is 650463.

It is a super-2 number, since 2×364056² = 265073542272, which contains 22 as substring.

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 364056.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1750 + ... + 1946.

It is an arithmetic number, because the mean of its divisors is an integer number (17820).

2³⁶⁴⁰⁵⁶ 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 364056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570240).

364056 is an abundant number, since it is smaller than the sum of its proper divisors (776424).

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

364056 is a wasteful number, since it uses less digits than its factorization.

364056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 364056 is about 603.3705329232. The cubic root of 364056 is about 71.4040311889.

The spelling of 364056 in words is "three hundred sixty-four thousand, fifty-six".