264840 has 32 divisors (see below), whose sum is σ = 794880. Its totient is φ = 70592.

The previous prime is 264839. The next prime is 264871. The reversal of 264840 is 48462.

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

It is a self number, because there is not a number n which added to its sum of digits gives 264840.

It is an unprimeable 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, 984 + ... + 1223.

It is an arithmetic number, because the mean of its divisors is an integer number (24840).

2²⁶⁴⁸⁴⁰ is an apocalyptic number.

264840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264840 is an abundant number, since it is smaller than the sum of its proper divisors (530040).

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

264840 is a wasteful number, since it uses less digits than its factorization.

264840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 264840 is about 514.6260778468. The cubic root of 264840 is about 64.2186531720.

The spelling of 264840 in words is "two hundred sixty-four thousand, eight hundred forty".