56205666 has 48 divisors (see below), whose sum is σ = 137150208. Its totient is φ = 16480800.

The previous prime is 56205649. The next prime is 56205679. The reversal of 56205666 is 66650265.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 56205666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1560 + ... + 10716.

It is an arithmetic number, because the mean of its divisors is an integer number (2857296).

Almost surely, 2^56205666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56205666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68575104).

56205666 is an abundant number, since it is smaller than the sum of its proper divisors (80944542).

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

56205666 is a wasteful number, since it uses less digits than its factorization.

56205666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9207 (or 9204 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 56205666 is about 7497.0438173990. The cubic root of 56205666 is about 383.0540273321.

The spelling of 56205666 in words is "fifty-six million, two hundred five thousand, six hundred sixty-six".