364656 has 40 divisors (see below), whose sum is σ = 964224. Its totient is φ = 118720.

The previous prime is 364643. The next prime is 364657. The reversal of 364656 is 656463.

364656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 364656.

It is not an unprimeable number, because it can be changed into a prime (364657) by changing a digit.

364656 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, 3355 + ... + 3461.

2³⁶⁴⁶⁵⁶ 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 364656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482112).

364656 is an abundant number, since it is smaller than the sum of its proper divisors (599568).

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

364656 is a wasteful number, since it uses less digits than its factorization.

364656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 183 counting only the distinct ones).

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

The square root of 364656 is about 603.8675351433. The cubic root of 364656 is about 71.4432366079.

The spelling of 364656 in words is "three hundred sixty-four thousand, six hundred fifty-six".