115317216 has 192 divisors, whose sum is σ = 401587200. Its totient is φ = 31477248.

The previous prime is 115317199. The next prime is 115317221. The reversal of 115317216 is 612713511.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 115317216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138690 + ... + 139518.

It is an arithmetic number, because the mean of its divisors is an integer number (2091600).

Almost surely, 2^115317216 is an apocalyptic number.

115317216 is a gapful number since it is divisible by the number (16) 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 115317216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200793600).

115317216 is an abundant number, since it is smaller than the sum of its proper divisors (286269984).

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

115317216 is a wasteful number, since it uses less digits than its factorization.

115317216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 864 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 115317216 is about 10738.5853816972. The cubic root of 115317216 is about 486.7411341188.

The spelling of 115317216 in words is "one hundred fifteen million, three hundred seventeen thousand, two hundred sixteen".