8907600960 has 168 divisors, whose sum is σ = 31386130776. Its totient is φ = 2317393920.

The previous prime is 8907600943. The next prime is 8907600971. The reversal of 8907600960 is 690067098.

It can be written as a sum of positive squares in 4 ways, for example, as 1124126784 + 7783474176 = 33528^2 + 88224^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80362 + ... + 155798.

It is an arithmetic number, because the mean of its divisors is an integer number (186822207).

Almost surely, 2^8907600960 is an apocalyptic number.

8907600960 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 8907600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15693065388).

8907600960 is an abundant number, since it is smaller than the sum of its proper divisors (22478529816).

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

8907600960 is a wasteful number, since it uses less digits than its factorization.

8907600960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75501 (or 75488 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 8907600960 is about 94380.0877304106. The cubic root of 8907600960 is about 2072.9408874109.

The spelling of 8907600960 in words is "eight billion, nine hundred seven million, six hundred thousand, nine hundred sixty".