8956934160 has 320 divisors, whose sum is σ = 31677972480. Its totient is φ = 2080235520.

The previous prime is 8956934141. The next prime is 8956934167. The reversal of 8956934160 is 614396598.

8956934160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (8956934167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2907501 + ... + 2910579.

It is an arithmetic number, because the mean of its divisors is an integer number (98993664).

Almost surely, 2^8956934160 is an apocalyptic number.

8956934160 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 8956934160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15838986240).

8956934160 is an abundant number, since it is smaller than the sum of its proper divisors (22721038320).

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

8956934160 is a wasteful number, since it uses less digits than its factorization.

8956934160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The square root of 8956934160 is about 94641.0807207948. The cubic root of 8956934160 is about 2076.7607185355.

The spelling of 8956934160 in words is "eight billion, nine hundred fifty-six million, nine hundred thirty-four thousand, one hundred sixty".