264003880 has 128 divisors (see below), whose sum is σ = 738720000. Its totient is φ = 82833408.

The previous prime is 264003869. The next prime is 264003893. The reversal of 264003880 is 88300462.

It is a happy number.

264003880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175371 + ... + 176869.

It is an arithmetic number, because the mean of its divisors is an integer number (5771250).

Almost surely, 2^264003880 is an apocalyptic number.

264003880 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 264003880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369360000).

264003880 is an abundant number, since it is smaller than the sum of its proper divisors (474716120).

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

264003880 is a wasteful number, since it uses less digits than its factorization.

264003880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 264003880 is about 16248.1962075795. The cubic root of 264003880 is about 641.5100087194.

The spelling of 264003880 in words is "two hundred sixty-four million, three thousand, eight hundred eighty".