564105366 has 48 divisors (see below), whose sum is σ = 1352153088. Its totient is φ = 168529200.

The previous prime is 564105331. The next prime is 564105397. The reversal of 564105366 is 663501465.

564105366 is a `hidden beast` number, since 5 + 641 + 0 + 5 + 3 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 564105366.

It is a congruent number.

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, 6006 + ... + 34121.

It is an arithmetic number, because the mean of its divisors is an integer number (28169856).

Almost surely, 2^564105366 is an apocalyptic number.

564105366 is an abundant number, since it is smaller than the sum of its proper divisors (788047722).

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

564105366 is a wasteful number, since it uses less digits than its factorization.

564105366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40217 (or 40214 counting only the distinct ones).

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

The square root of 564105366 is about 23750.9024249606. The cubic root of 564105366 is about 826.2663702858.

It can be divided in two parts, 56410 and 5366, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 564105366 in words is "five hundred sixty-four million, one hundred five thousand, three hundred sixty-six".