264079872 has 160 divisors (see below), whose sum is σ = 893692800. Its totient is φ = 75423744.

The previous prime is 264079843. The next prime is 264079873. The reversal of 264079872 is 278970462.

It is not an unprimeable number, because it can be changed into a prime (264079873) by changing a digit.

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, 95404 + ... + 98132.

It is an arithmetic number, because the mean of its divisors is an integer number (5585580).

Almost surely, 2^264079872 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 264079872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446846400).

264079872 is an abundant number, since it is smaller than the sum of its proper divisors (629612928).

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

264079872 is an equidigital number, since it uses as much as digits as its factorization.

264079872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 264079872 is about 16250.5345142860. The cubic root of 264079872 is about 641.5715544713.

The spelling of 264079872 in words is "two hundred sixty-four million, seventy-nine thousand, eight hundred seventy-two".