365664 has 48 divisors (see below), whose sum is σ = 1037232. Its totient is φ = 112128.

The previous prime is 365641. The next prime is 365669. The reversal of 365664 is 466563.

It is a tau number, because it is divible by the number of its divisors (48).

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 365664.

It is not an unprimeable number, because it can be changed into a prime (365669) by changing a digit.

365664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 1102 + ... + 1394.

It is an arithmetic number, because the mean of its divisors is an integer number (21609).

2³⁶⁵⁶⁶⁴ 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 365664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518616).

365664 is an abundant number, since it is smaller than the sum of its proper divisors (671568).

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

365664 is a wasteful number, since it uses less digits than its factorization.

365664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 311 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 365664 is about 604.7015792935. The cubic root of 365664 is about 71.5090050112.

The spelling of 365664 in words is "three hundred sixty-five thousand, six hundred sixty-four".