264145560 has 256 divisors, whose sum is σ = 948879360. Its totient is φ = 57576960.

The previous prime is 264145559. The next prime is 264145571. The reversal of 264145560 is 65541462.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2564469 + ... + 2564571.

It is an arithmetic number, because the mean of its divisors is an integer number (3706560).

Almost surely, 2^264145560 is an apocalyptic number.

264145560 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 264145560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474439680).

264145560 is an abundant number, since it is smaller than the sum of its proper divisors (684733800).

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

264145560 is a wasteful number, since it uses less digits than its factorization.

264145560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 264145560 is about 16252.5554913681. Note that the first 3 decimals coincide. The cubic root of 264145560 is about 641.6247455231.

The spelling of 264145560 in words is "two hundred sixty-four million, one hundred forty-five thousand, five hundred sixty".