8315120 has 60 divisors (see below), whose sum is σ = 21274680. Its totient is φ = 3020160.

The previous prime is 8315113. The next prime is 8315137. The reversal of 8315120 is 215138.

It is a super-2 number, since 2×8315120² = 138282441228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 8315092 and 8315101.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9251 + ... + 10109.

It is an arithmetic number, because the mean of its divisors is an integer number (354578).

Almost surely, 2^8315120 is an apocalyptic number.

8315120 is a gapful number since it is divisible by the number (80) 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 8315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10637340).

8315120 is an abundant number, since it is smaller than the sum of its proper divisors (12959560).

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

8315120 is a wasteful number, since it uses less digits than its factorization.

8315120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 8315120 is about 2883.5949784947. The cubic root of 8315120 is about 202.5922558853.

The spelling of 8315120 in words is "eight million, three hundred fifteen thousand, one hundred twenty".