367264 has 24 divisors (see below), whose sum is σ = 756000. Its totient is φ = 175296.

The previous prime is 367261. The next prime is 367273. The reversal of 367264 is 462763.

367264 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 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (367261) 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, 487 + ... + 985.

It is an arithmetic number, because the mean of its divisors is an integer number (31500).

2³⁶⁷²⁶⁴ 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 367264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378000).

367264 is an abundant number, since it is smaller than the sum of its proper divisors (388736).

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

367264 is a wasteful number, since it uses less digits than its factorization.

367264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 524 counting only the distinct ones).

The product of its digits is 6048, while the sum is 28.

The square root of 367264 is about 606.0231018699. The cubic root of 367264 is about 71.6131515640.

Subtracting from 367264 its sum of digits (28), we obtain a square (367236 = 606²).

The spelling of 367264 in words is "three hundred sixty-seven thousand, two hundred sixty-four".