115614720 has 264 divisors, whose sum is σ = 433652856. Its totient is φ = 28311552.

The previous prime is 115614701. The next prime is 115614727. The reversal of 115614720 is 27416511.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 115605504 = 96^2 + 10752^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115614727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598944 + ... + 599136.

Almost surely, 2^115614720 is an apocalyptic number.

115614720 is a gapful number since it is divisible by the number (10) 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 115614720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216826428).

115614720 is an abundant number, since it is smaller than the sum of its proper divisors (318038136).

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

115614720 is a wasteful number, since it uses less digits than its factorization.

115614720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 115614720 is about 10752.4285628875. The cubic root of 115614720 is about 487.1593517658.

It can be divided in two parts, 1156 and 14720, that added together give a square (15876 = 126²).

The spelling of 115614720 in words is "one hundred fifteen million, six hundred fourteen thousand, seven hundred twenty".