115506216 has 128 divisors (see below), whose sum is σ = 371712000. Its totient is φ = 32550336.

The previous prime is 115506199. The next prime is 115506229. The reversal of 115506216 is 612605511.

It is a happy number.

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 115506216.

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 31 ways as a sum of consecutive naturals, for example, 118965 + ... + 119931.

It is an arithmetic number, because the mean of its divisors is an integer number (2904000).

Almost surely, 2^115506216 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 115506216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185856000).

115506216 is an abundant number, since it is smaller than the sum of its proper divisors (256205784).

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

115506216 is a wasteful number, since it uses less digits than its factorization.

115506216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 115506216 is about 10747.3818207041. The cubic root of 115506216 is about 487.0069049642.

It can be divided in two parts, 11550 and 6216, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 115506216 in words is "one hundred fifteen million, five hundred six thousand, two hundred sixteen".