565607040 has 128 divisors (see below), whose sum is σ = 1833796800. Its totient is φ = 148242432.

The previous prime is 565607033. The next prime is 565607089. The reversal of 565607040 is 40706565.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×565607040² = 639822647395123200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 565606992 and 565607010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110784 + ... + 115776.

Almost surely, 2^565607040 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 565607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916898400).

565607040 is an abundant number, since it is smaller than the sum of its proper divisors (1268189760).

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

565607040 is a wasteful number, since it uses less digits than its factorization.

565607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5074 (or 5062 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 565607040 is about 23782.4944023961. The cubic root of 565607040 is about 826.9989068052.

The spelling of 565607040 in words is "five hundred sixty-five million, six hundred seven thousand, forty".