8800968 has 128 divisors (see below), whose sum is σ = 26593920. Its totient is φ = 2396160.

The previous prime is 8800963. The next prime is 8800997. The reversal of 8800968 is 8690088.

8800968 is a modest number, since divided by 968 gives 880 as remainder.

It is not an unprimeable number, because it can be changed into a prime (8800963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166030 + ... + 166082.

It is an arithmetic number, because the mean of its divisors is an integer number (207765).

Almost surely, 2^8800968 is an apocalyptic number.

8800968 is a gapful number since it is divisible by the number (88) 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 8800968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13296960).

8800968 is an abundant number, since it is smaller than the sum of its proper divisors (17792952).

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

8800968 is a wasteful number, since it uses less digits than its factorization.

8800968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 8800968 is about 2966.6425467184. The cubic root of 8800968 is about 206.4635928679.

The spelling of 8800968 in words is "eight million, eight hundred thousand, nine hundred sixty-eight".