904866561 has 27 divisors (see below), whose sum is σ = 1348284483. Its totient is φ = 584774640.

The previous prime is 904866559. The next prime is 904866577. The reversal of 904866561 is 165668409.

The square root of 904866561 is 30081.

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

904866561 is a `hidden beast` number, since 9 + 0 + 4 + 86 + 6 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 809687025 + 95179536 = 28455^2 + 9756^2 .

It is not a de Polignac number, because 904866561 - 2¹ = 904866559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (904866551) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3338856 + ... + 3339126.

Almost surely, 2^904866561 is an apocalyptic number.

904866561 is the 30081-st square number.

904866561 is the 15041-st centered octagonal number.

It is an amenable number.

904866561 is a deficient number, since it is larger than the sum of its proper divisors (443417922).

904866561 is an equidigital number, since it uses as much as digits as its factorization.

904866561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The cubic root of 904866561 is about 967.2264843885.

The spelling of 904866561 in words is "nine hundred four million, eight hundred sixty-six thousand, five hundred sixty-one".