8579902240 has 192 divisors, whose sum is σ = 25753835520. Its totient is φ = 2627665920.

The previous prime is 8579902223. The next prime is 8579902241. The reversal of 8579902240 is 422099758.

It is a super-2 number, since 2×8579902240² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8579902241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441856 + ... + 460864.

It is an arithmetic number, because the mean of its divisors is an integer number (134134560).

Almost surely, 2^8579902240 is an apocalyptic number.

8579902240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8579902240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12876917760).

8579902240 is an abundant number, since it is smaller than the sum of its proper divisors (17173933280).

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

8579902240 is a wasteful number, since it uses less digits than its factorization.

8579902240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19075 (or 19067 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 8579902240 is about 92627.7617132143. The cubic root of 8579902240 is about 2047.2023897015.

The spelling of 8579902240 in words is "eight billion, five hundred seventy-nine million, nine hundred two thousand, two hundred forty".