8311968 has 216 divisors, whose sum is σ = 29877120. Its totient is φ = 2177280.

The previous prime is 8311957. The next prime is 8311981. The reversal of 8311968 is 8691138.

8311968 is digitally balanced in base 4, 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 268113 + ... + 268143.

It is an arithmetic number, because the mean of its divisors is an integer number (138320).

Almost surely, 2^8311968 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 8311968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938560).

8311968 is an abundant number, since it is smaller than the sum of its proper divisors (21565152).

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

8311968 is a wasteful number, since it uses less digits than its factorization.

8311968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 62 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 8311968 is about 2883.0483866907. The cubic root of 8311968 is about 202.5666538698.

The spelling of 8311968 in words is "eight million, three hundred eleven thousand, nine hundred sixty-eight".