8906974560 has 864 divisors, whose sum is σ = 36892267776. Its totient is φ = 1946419200.

The previous prime is 8906974547. The next prime is 8906974561. The reversal of 8906974560 is 654796098.

8906974560 is a `hidden beast` number, since 8 + 9 + 0 + 6 + 9 + 74 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8906974497 and 8906974506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8906974561) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 91824432 + ... + 91824528.

It is an arithmetic number, because the mean of its divisors is an integer number (42699384).

Almost surely, 2^8906974560 is an apocalyptic number.

8906974560 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 8906974560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18446133888).

8906974560 is an abundant number, since it is smaller than the sum of its proper divisors (27985293216).

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

8906974560 is a wasteful number, since it uses less digits than its factorization.

8906974560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 8906974560 is about 94376.7691754703. The cubic root of 8906974560 is about 2072.8922951799.

The spelling of 8906974560 in words is "eight billion, nine hundred six million, nine hundred seventy-four thousand, five hundred sixty".