565656000 has 672 divisors, whose sum is σ = 2403116352. Its totient is φ = 116121600.

The previous prime is 565655971. The next prime is 565656017. The reversal of 565656000 is 656565.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15287982 + ... + 15288018.

It is an arithmetic number, because the mean of its divisors is an integer number (3576066).

Almost surely, 2^565656000 is an apocalyptic number.

565656000 is a gapful number since it is divisible by the number (50) 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 565656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201558176).

565656000 is an abundant number, since it is smaller than the sum of its proper divisors (1837460352).

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

565656000 is a wasteful number, since it uses less digits than its factorization.

565656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 565656000 is about 23783.5237086518. The cubic root of 565656000 is about 827.0227683058.

The spelling of 565656000 in words is "five hundred sixty-five million, six hundred fifty-six thousand".