364105566 has 48 divisors (see below), whose sum is σ = 863476848. Its totient is φ = 109968000.

The previous prime is 364105561. The next prime is 364105583. The reversal of 364105566 is 665501463.

364105566 is a `hidden beast` number, since 3 + 641 + 0 + 5 + 5 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 364105566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364105561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59866 + ... + 65666.

It is an arithmetic number, because the mean of its divisors is an integer number (17989101).

Almost surely, 2^364105566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364105566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431738424).

364105566 is an abundant number, since it is smaller than the sum of its proper divisors (499371282).

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

364105566 is a wasteful number, since it uses less digits than its factorization.

364105566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6137 (or 6134 counting only the distinct ones).

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

The square root of 364105566 is about 19081.5504087063. The cubic root of 364105566 is about 714.0727158011.

The spelling of 364105566 in words is "three hundred sixty-four million, one hundred five thousand, five hundred sixty-six".