264395120 has 80 divisors (see below), whose sum is σ = 699812352. Its totient is φ = 91956480.

The previous prime is 264395113. The next prime is 264395137. The reversal of 264395120 is 21593462.

It is a happy number.

264395120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13709 + ... + 26771.

Almost surely, 2^264395120 is an apocalyptic number.

264395120 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 264395120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349906176).

264395120 is an abundant number, since it is smaller than the sum of its proper divisors (435417232).

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

264395120 is a wasteful number, since it uses less digits than its factorization.

264395120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13110 (or 13104 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 264395120 is about 16260.2312406681. The cubic root of 264395120 is about 641.8267471147.

The spelling of 264395120 in words is "two hundred sixty-four million, three hundred ninety-five thousand, one hundred twenty".