8290581120 has 256 divisors, whose sum is σ = 30158380800. Its totient is φ = 2150903808.

The previous prime is 8290581067. The next prime is 8290581151. The reversal of 8290581120 is 211850928.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 632877 + ... + 645843.

It is an arithmetic number, because the mean of its divisors is an integer number (117806175).

Almost surely, 2^8290581120 is an apocalyptic number.

8290581120 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 8290581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15079190400).

8290581120 is an abundant number, since it is smaller than the sum of its proper divisors (21867799680).

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

8290581120 is a wasteful number, since it uses less digits than its factorization.

8290581120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13032 (or 13014 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 8290581120 is about 91052.6282981441. The cubic root of 8290581120 is about 2023.9276846686.

It can be divided in two parts, 82905 and 81120, that added together give a square (164025 = 405²).

The spelling of 8290581120 in words is "eight billion, two hundred ninety million, five hundred eighty-one thousand, one hundred twenty".