367664 has 20 divisors (see below), whose sum is σ = 777480. Its totient is φ = 167040.

The previous prime is 367663. The next prime is 367673. The reversal of 367664 is 466763.

It is a self number, because there is not a number n which added to its sum of digits gives 367664.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 367664.

It is not an unprimeable number, because it can be changed into a prime (367663) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 869 + ... + 1220.

It is an arithmetic number, because the mean of its divisors is an integer number (38874).

2³⁶⁷⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

367664 is an abundant number, since it is smaller than the sum of its proper divisors (409816).

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

367664 is a wasteful number, since it uses less digits than its factorization.

367664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2102 counting only the distinct ones).

The product of its digits is 18144, while the sum is 32.

The square root of 367664 is about 606.3530324819. The cubic root of 367664 is about 71.6391409226.

Subtracting 367664 from its reverse (466763), we obtain a palindrome (99099).

The spelling of 367664 in words is "three hundred sixty-seven thousand, six hundred sixty-four".