369264 has 60 divisors (see below), whose sum is σ = 1116744. Its totient is φ = 104832.

The previous prime is 369263. The next prime is 369269. The reversal of 369264 is 462963.

369264 is nontrivially palindromic in base 13.

369264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 14.

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 369264.

It is not an unprimeable number, because it can be changed into a prime (369263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2274 + ... + 2430.

2³⁶⁹²⁶⁴ 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 369264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558372).

369264 is an abundant number, since it is smaller than the sum of its proper divisors (747480).

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

369264 is a wasteful number, since it uses less digits than its factorization.

369264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 169 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 369264 is about 607.6709635979. The cubic root of 369264 is about 71.7429102652.

The spelling of 369264 in words is "three hundred sixty-nine thousand, two hundred sixty-four".