363264 has 72 divisors (see below), whose sum is σ = 1079232. Its totient is φ = 107520.

The previous prime is 363257. The next prime is 363269. The reversal of 363264 is 462363.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 363264.

It is not an unprimeable number, because it can be changed into a prime (363269) by changing a digit.

363264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8427 + ... + 8469.

2³⁶³²⁶⁴ 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 363264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539616).

363264 is an abundant number, since it is smaller than the sum of its proper divisors (715968).

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

363264 is a wasteful number, since it uses less digits than its factorization.

363264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 59 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 363264 is about 602.7138624588. The cubic root of 363264 is about 71.3522140218.

Subtracting 363264 from its reverse (462363), we obtain a palindrome (99099).

The spelling of 363264 in words is "three hundred sixty-three thousand, two hundred sixty-four".