8851968 has 120 divisors (see below), whose sum is σ = 27289548. Its totient is φ = 2752512.

The previous prime is 8851963. The next prime is 8852009. The reversal of 8851968 is 8691588.

It can be written as a sum of positive squares in 2 ways, for example, as 8573184 + 278784 = 2928^2 + 528^2 .

Its product of digits (138240) is a multiple of the sum of its prime divisors (135).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8851961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78280 + ... + 78392.

Almost surely, 2^8851968 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 8851968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13644774).

8851968 is an abundant number, since it is smaller than the sum of its proper divisors (18437580).

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

8851968 is a wasteful number, since it uses less digits than its factorization.

8851968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 135 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The square root of 8851968 is about 2975.2257057239. The cubic root of 8851968 is about 206.8616312558.

The spelling of 8851968 in words is "eight million, eight hundred fifty-one thousand, nine hundred sixty-eight".