264010560 has 224 divisors, whose sum is σ = 955072512. Its totient is φ = 61163520.

The previous prime is 264010553. The next prime is 264010627. The reversal of 264010560 is 65010462.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 264010560.

It is a congruent number.

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, 242337 + ... + 243423.

Almost surely, 2^264010560 is an apocalyptic number.

264010560 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 264010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477536256).

264010560 is an abundant number, since it is smaller than the sum of its proper divisors (691061952).

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

264010560 is a wasteful number, since it uses less digits than its factorization.

264010560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 264010560 is about 16248.4017675586. The cubic root of 264010560 is about 641.5154193100.

It can be divided in two parts, 2640 and 10560, that multiplied together give a square (27878400 = 5280²).

The spelling of 264010560 in words is "two hundred sixty-four million, ten thousand, five hundred sixty".