8272008090 has 64 divisors (see below), whose sum is σ = 22420350720. Its totient is φ = 2169702720.

The previous prime is 8272008089. The next prime is 8272008127. The reversal of 8272008090 is 908002728.

It is a super-2 number, since 2×8272008090² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234654 + ... + 267593.

It is an arithmetic number, because the mean of its divisors is an integer number (350317980).

Almost surely, 2^8272008090 is an apocalyptic number.

8272008090 is an abundant number, since it is smaller than the sum of its proper divisors (14148342630).

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

8272008090 is a wasteful number, since it uses less digits than its factorization.

8272008090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502324 (or 502318 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8272008090 is about 90950.5804819299. The cubic root of 8272008090 is about 2022.4151821143.

The spelling of 8272008090 in words is "eight billion, two hundred seventy-two million, eight thousand, ninety".