364064 has 24 divisors (see below), whose sum is σ = 741888. Its totient is φ = 175680.

The previous prime is 364031. The next prime is 364069. The reversal of 364064 is 460463.

364064 = 93² + 94² + ... + 123².

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 364064.

It is not an unprimeable number, because it can be changed into a prime (364069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 809 + ... + 1175.

It is an arithmetic number, because the mean of its divisors is an integer number (30912).

2³⁶⁴⁰⁶⁴ 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 364064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370944).

364064 is an abundant number, since it is smaller than the sum of its proper divisors (377824).

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

364064 is a wasteful number, since it uses less digits than its factorization.

364064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 364064 is about 603.3771623123. The cubic root of 364064 is about 71.4045542110.

The spelling of 364064 in words is "three hundred sixty-four thousand, sixty-four".