8390560000 has 135 divisors (see below), whose sum is σ = 21020522061. Its totient is φ = 3341568000.

The previous prime is 8390559953. The next prime is 8390560021. The reversal of 8390560000 is 650938.

The square root of 8390560000 is 91600.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2284075264 + 6106484736 = 47792^2 + 78144^2 .

It is a super-2 number, since 2×8390560000² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 36639886 + ... + 36640114.

Almost surely, 2^8390560000 is an apocalyptic number.

8390560000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8390560000 is the 91600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8390560000

8390560000 is an abundant number, since it is smaller than the sum of its proper divisors (12629962061).

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

8390560000 is an frugal number, since it uses more digits than its factorization.

8390560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The cubic root of 8390560000 is about 2032.0309375908.

The spelling of 8390560000 in words is "eight billion, three hundred ninety million, five hundred sixty thousand".