264040 has 64 divisors (see below), whose sum is σ = 725760. Its totient is φ = 84480.

The previous prime is 264031. The next prime is 264053. The reversal of 264040 is 40462.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6420 + ... + 6460.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2²⁶⁴⁰⁴⁰ is an apocalyptic number.

264040 is a gapful number since it is divisible by the number (20) 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 264040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

264040 is an abundant number, since it is smaller than the sum of its proper divisors (461720).

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

264040 is a wasteful number, since it uses less digits than its factorization.

264040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 264040 is about 513.8482266195. The cubic root of 264040 is about 64.1539263700.

The spelling of 264040 in words is "two hundred sixty-four thousand, forty".