265564320 has 192 divisors, whose sum is σ = 976147200. Its totient is φ = 60662784.

The previous prime is 265564297. The next prime is 265564337. The reversal of 265564320 is 23465562.

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, 163834 + ... + 165446.

It is an arithmetic number, because the mean of its divisors is an integer number (5084100).

Almost surely, 2^265564320 is an apocalyptic number.

265564320 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 265564320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488073600).

265564320 is an abundant number, since it is smaller than the sum of its proper divisors (710582880).

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

265564320 is a wasteful number, since it uses less digits than its factorization.

265564320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 265564320 is about 16296.1443292578. The cubic root of 265564320 is about 642.7714448020.

It can be divided in two parts, 26556 and 4320, that added together give a triangular number (30876 = T₂₄₈).

The spelling of 265564320 in words is "two hundred sixty-five million, five hundred sixty-four thousand, three hundred twenty".