565613664 has 288 divisors, whose sum is σ = 1998089856. Its totient is φ = 138055680.

The previous prime is 565613627. The next prime is 565613729. The reversal of 565613664 is 466316565.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 879327 + ... + 879969.

It is an arithmetic number, because the mean of its divisors is an integer number (6937812).

Almost surely, 2^565613664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 565613664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999044928).

565613664 is an abundant number, since it is smaller than the sum of its proper divisors (1432476192).

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

565613664 is a wasteful number, since it uses less digits than its factorization.

565613664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 683 counting only the distinct ones).

The product of its digits is 388800, while the sum is 42.

The square root of 565613664 is about 23782.6336640835. The cubic root of 565613664 is about 827.0021352064.

The spelling of 565613664 in words is "five hundred sixty-five million, six hundred thirteen thousand, six hundred sixty-four".