369664 has 33 divisors (see below), whose sum is σ = 779907. Its totient is φ = 175104.

The previous prime is 369661. The next prime is 369673. The reversal of 369664 is 466963.

The square root of 369664 is 608.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (369661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 19447 + ... + 19465.

2³⁶⁹⁶⁶⁴ is an apocalyptic number.

369664 is the 608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 369664

369664 is an abundant number, since it is smaller than the sum of its proper divisors (410243).

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

369664 is an equidigital number, since it uses as much as digits as its factorization.

369664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 21 counting only the distinct ones).

The product of its digits is 23328, while the sum is 34.

The cubic root of 369664 is about 71.7688057477.

The spelling of 369664 in words is "three hundred sixty-nine thousand, six hundred sixty-four".