8312416 has 48 divisors (see below), whose sum is σ = 19160064. Its totient is φ = 3475584.

The previous prime is 8312413. The next prime is 8312417. The reversal of 8312416 is 6142138.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8312411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9201 + ... + 10063.

It is an arithmetic number, because the mean of its divisors is an integer number (399168).

Almost surely, 2^8312416 is an apocalyptic number.

8312416 is a gapful number since it is divisible by the number (86) 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 8312416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9580032).

8312416 is an abundant number, since it is smaller than the sum of its proper divisors (10847648).

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

8312416 is a wasteful number, since it uses less digits than its factorization.

8312416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 915 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 8312416 is about 2883.1260811834. The cubic root of 8312416 is about 202.5702931295.

The spelling of 8312416 in words is "eight million, three hundred twelve thousand, four hundred sixteen".