8957968 has 40 divisors (see below), whose sum is σ = 18550400. Its totient is φ = 4178304.

The previous prime is 8957957. The next prime is 8957983. The reversal of 8957968 is 8697598.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23830 + ... + 24202.

It is an arithmetic number, because the mean of its divisors is an integer number (463760).

Almost surely, 2^8957968 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 8957968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9275200).

8957968 is an abundant number, since it is smaller than the sum of its proper divisors (9592432).

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

8957968 is a wasteful number, since it uses less digits than its factorization.

8957968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 473 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 52.

The square root of 8957968 is about 2992.9864683957. The cubic root of 8957968 is about 207.6840617738.

The spelling of 8957968 in words is "eight million, nine hundred fifty-seven thousand, nine hundred sixty-eight".