362664 has 64 divisors (see below), whose sum is σ = 1065600. Its totient is φ = 114048.

The previous prime is 362657. The next prime is 362693. The reversal of 362664 is 466263.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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 362664.

It is an unprimeable number.

362664 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 15 ways as a sum of consecutive naturals, for example, 4932 + ... + 5004.

It is an arithmetic number, because the mean of its divisors is an integer number (16650).

2³⁶²⁶⁶⁴ 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 362664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532800).

362664 is an abundant number, since it is smaller than the sum of its proper divisors (702936).

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

362664 is a wasteful number, since it uses less digits than its factorization.

362664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 101 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 362664 is about 602.2159081260. The cubic root of 362664 is about 71.3129084291.

The spelling of 362664 in words is "three hundred sixty-two thousand, six hundred sixty-four".