264826920 has 64 divisors (see below), whose sum is σ = 798984000. Its totient is φ = 70220288.

The previous prime is 264826907. The next prime is 264826931. The reversal of 264826920 is 29628462.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15316 + ... + 27644.

It is an arithmetic number, because the mean of its divisors is an integer number (12484125).

Almost surely, 2^264826920 is an apocalyptic number.

264826920 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 264826920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399492000).

264826920 is an abundant number, since it is smaller than the sum of its proper divisors (534157080).

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

264826920 is a wasteful number, since it uses less digits than its factorization.

264826920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12522 (or 12518 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 264826920 is about 16273.5036178446. The cubic root of 264826920 is about 642.1759593773.

The spelling of 264826920 in words is "two hundred sixty-four million, eight hundred twenty-six thousand, nine hundred twenty".