264992 has 54 divisors (see below), whose sum is σ = 657153. Its totient is φ = 104832.

The previous prime is 264991. The next prime is 264997. The reversal of 264992 is 299462.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 226576 + 38416 = 476^2 + 196^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=364.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (264991) 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 8 ways as a sum of consecutive naturals, for example, 20378 + ... + 20390.

2²⁶⁴⁹⁹² 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 264992

264992 is an abundant number, since it is smaller than the sum of its proper divisors (392161).

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

264992 is a wasteful number, since it uses less digits than its factorization.

264992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 22 counting only the distinct ones).

The product of its digits is 7776, while the sum is 32.

The square root of 264992 is about 514.7737367038. The cubic root of 264992 is about 64.2309365236.

Multiplying 264992 by its sum of digits (32), we get a square (8479744 = 2912²).

264992 divided by its sum of digits (32) gives a square (8281 = 91²).

The spelling of 264992 in words is "two hundred sixty-four thousand, nine hundred ninety-two".