264545568 has 384 divisors, whose sum is σ = 975421440. Its totient is φ = 68014080.

The previous prime is 264545549. The next prime is 264545581. The reversal of 264545568 is 865545462.

264545568 is a `hidden beast` number, since 2 + 6 + 45 + 45 + 568 = 666.

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, 3187255 + ... + 3187337.

It is an arithmetic number, because the mean of its divisors is an integer number (2540160).

Almost surely, 2^264545568 is an apocalyptic number.

264545568 is a gapful number since it is divisible by the number (28) 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 264545568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487710720).

264545568 is an abundant number, since it is smaller than the sum of its proper divisors (710875872).

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

264545568 is a wasteful number, since it uses less digits than its factorization.

264545568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The square root of 264545568 is about 16264.8568392101. The cubic root of 264545568 is about 641.9484629780.

The spelling of 264545568 in words is "two hundred sixty-four million, five hundred forty-five thousand, five hundred sixty-eight".