8013225960 has 384 divisors, whose sum is σ = 27855360000. Its totient is φ = 1994803200.

The previous prime is 8013225947. The next prime is 8013225977. The reversal of 8013225960 is 695223108.

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 95 ways as a sum of consecutive naturals, for example, 53779966 + ... + 53780114.

It is an arithmetic number, because the mean of its divisors is an integer number (72540000).

Almost surely, 2^8013225960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8013225960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927680000).

8013225960 is an abundant number, since it is smaller than the sum of its proper divisors (19842134040).

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

8013225960 is a wasteful number, since it uses less digits than its factorization.

8013225960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 8013225960 is about 89516.6239309772. The cubic root of 8013225960 is about 2001.1015565086.

The spelling of 8013225960 in words is "eight billion, thirteen million, two hundred twenty-five thousand, nine hundred sixty".