565556040 has 192 divisors, whose sum is σ = 2193177600. Its totient is φ = 129257856.

The previous prime is 565556027. The next prime is 565556083. The reversal of 565556040 is 40655565.

It is a happy number.

565556040 is a `hidden beast` number, since 5 + 6 + 55 + 560 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 565555986 and 565556004.

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, 47577 + ... + 58263.

It is an arithmetic number, because the mean of its divisors is an integer number (11422800).

Almost surely, 2^565556040 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 565556040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096588800).

565556040 is an abundant number, since it is smaller than the sum of its proper divisors (1627621560).

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

565556040 is a wasteful number, since it uses less digits than its factorization.

565556040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10721 (or 10704 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 565556040 is about 23781.4221610063. The cubic root of 565556040 is about 826.9740496110.

The spelling of 565556040 in words is "five hundred sixty-five million, five hundred fifty-six thousand, forty".