264151120 has 40 divisors (see below), whose sum is σ = 615976200. Its totient is φ = 105346560.

The previous prime is 264151109. The next prime is 264151133. The reversal of 264151120 is 21151462.

264151120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 78428736 + 185722384 = 8856^2 + 13628^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 264151091 and 264151100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23190 + ... + 32650.

It is an arithmetic number, because the mean of its divisors is an integer number (15399405).

Almost surely, 2^264151120 is an apocalyptic number.

264151120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264151120 is an abundant number, since it is smaller than the sum of its proper divisors (351825080).

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

264151120 is a wasteful number, since it uses less digits than its factorization.

264151120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9823 (or 9817 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 264151120 is about 16252.7265404916. The cubic root of 264151120 is about 641.6292473447.

The spelling of 264151120 in words is "two hundred sixty-four million, one hundred fifty-one thousand, one hundred twenty".