264615120 has 640 divisors, whose sum is σ = 1194209280. Its totient is φ = 52254720.

The previous prime is 264615119. The next prime is 264615139. The reversal of 264615120 is 21516462.

264615120 is a `hidden beast` number, since 2 + 646 + 1 + 5 + 12 + 0 = 666.

It is a super-2 number, since 2×264615120² = 140042323465228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6153819 + ... + 6153861.

It is an arithmetic number, because the mean of its divisors is an integer number (1865952).

Almost surely, 2^264615120 is an apocalyptic number.

264615120 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 264615120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597104640).

264615120 is an abundant number, since it is smaller than the sum of its proper divisors (929594160).

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

264615120 is a wasteful number, since it uses less digits than its factorization.

264615120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 264615120 is about 16266.9948054335. The cubic root of 264615120 is about 642.0047165345.

It can be divided in two parts, 2646 and 15120, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 264615120 in words is "two hundred sixty-four million, six hundred fifteen thousand, one hundred twenty".