8312976 has 80 divisors (see below), whose sum is σ = 27280000. Its totient is φ = 2374272.

The previous prime is 8312971. The next prime is 8312977. The reversal of 8312976 is 6792138.

8312976 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 one of the 548 Lynch-Bell numbers.

It is a self number, because there is not a number n which added to its sum of digits gives 8312976.

It is not an unprimeable number, because it can be changed into a prime (8312971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1650 + ... + 4398.

It is an arithmetic number, because the mean of its divisors is an integer number (341000).

Almost surely, 2^8312976 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 8312976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13640000).

8312976 is an abundant number, since it is smaller than the sum of its proper divisors (18967024).

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

8312976 is a wasteful number, since it uses less digits than its factorization.

8312976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2761 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 8312976 is about 2883.2231963551. The cubic root of 8312976 is about 202.5748420202.

The spelling of 8312976 in words is "eight million, three hundred twelve thousand, nine hundred seventy-six".