8617408900 has 27 divisors (see below), whose sum is σ = 18701791941. Its totient is φ = 3446592240.

The previous prime is 8617408897. The next prime is 8617408909. The reversal of 8617408900 is 98047168.

The square root of 8617408900 is 92830.

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

It can be written as a sum of positive squares in only one way, i.e., 3102267204 + 5515141696 = 55698^2 + 74264^2 .

It is a super-2 number, since 2×8617408900² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8617408909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 923659 + ... + 932941.

Almost surely, 2^8617408900 is an apocalyptic number.

8617408900 is the 92830-th square number.

It is an amenable number.

8617408900 is an abundant number, since it is smaller than the sum of its proper divisors (10084383041).

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

8617408900 is an frugal number, since it uses more digits than its factorization.

8617408900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18580 (or 9290 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The cubic root of 8617408900 is about 2050.1811380691.

The spelling of 8617408900 in words is "eight billion, six hundred seventeen million, four hundred eight thousand, nine hundred".