8974056960 has 960 divisors, whose sum is σ = 37225742400. Its totient is φ = 2043740160.

The previous prime is 8974056941. The next prime is 8974057009. The reversal of 8974056960 is 696504798.

8974056960 is a `hidden beast` number, since 8 + 9 + 74 + 0 + 569 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8974056897 and 8974056906.

It is a congruent number.

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, 242542062 + ... + 242542098.

It is an arithmetic number, because the mean of its divisors is an integer number (38776815).

Almost surely, 2^8974056960 is an apocalyptic number.

8974056960 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 8974056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18612871200).

8974056960 is an abundant number, since it is smaller than the sum of its proper divisors (28251685440).

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

8974056960 is a wasteful number, since it uses less digits than its factorization.

8974056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 87 counting only the distinct ones).

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

The square root of 8974056960 is about 94731.4993019745. The cubic root of 8974056960 is about 2078.0832440808.

The spelling of 8974056960 in words is "eight billion, nine hundred seventy-four million, fifty-six thousand, nine hundred sixty".