264864 has 48 divisors (see below), whose sum is σ = 725760. Its totient is φ = 84480.

The previous prime is 264839. The next prime is 264871. The reversal of 264864 is 468462.

264864 = 77² + 78² + ... + 107².

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

264864 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2932 + ... + 3020.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2²⁶⁴⁸⁶⁴ is an apocalyptic number.

264864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

264864 is an abundant number, since it is smaller than the sum of its proper divisors (460896).

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

264864 is a wasteful number, since it uses less digits than its factorization.

264864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 125 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 264864 is about 514.6493952197. The cubic root of 264864 is about 64.2205929610.

It can be divided in two parts, 264 and 864, that added together give a triangular number (1128 = T₄₇).

The spelling of 264864 in words is "two hundred sixty-four thousand, eight hundred sixty-four".