90566087364 has 63 divisors (see below), whose sum is σ = 237669921853. Its totient is φ = 30183278832.

The previous prime is 90566087327. The next prime is 90566087383. The reversal of 90566087364 is 46378066509.

The square root of 90566087364 is 300942.

It is a perfect power (a square), and thus also a powerful number.

90566087364 is a `hidden beast` number, since 9 + 0 + 566 + 0 + 8 + 73 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3890016900 + 86676070464 = 62370^2 + 294408^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 90566087364.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 16248082 + ... + 16253654.

Almost surely, 2^90566087364 is an apocalyptic number.

90566087364 is the 300942-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90566087364

90566087364 is an abundant number, since it is smaller than the sum of its proper divisors (147103834489).

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

90566087364 is an frugal number, since it uses more digits than its factorization.

90566087364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11168 (or 5578 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 90566087364 in words is "ninety billion, five hundred sixty-six million, eighty-seven thousand, three hundred sixty-four".