115937280 has 312 divisors, whose sum is σ = 437006232. Its totient is φ = 28311552.

The previous prime is 115937279. The next prime is 115937293. The reversal of 115937280 is 82739511.

It can be written as a sum of positive squares in 4 ways, for example, as 47775744 + 68161536 = 6912^2 + 8256^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3133422 + ... + 3133458.

It is an arithmetic number, because the mean of its divisors is an integer number (1400661).

Almost surely, 2^115937280 is an apocalyptic number.

115937280 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 115937280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218503116).

115937280 is an abundant number, since it is smaller than the sum of its proper divisors (321068952).

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

115937280 is a wasteful number, since it uses less digits than its factorization.

115937280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 115937280 is about 10767.4175176780. The cubic root of 115937280 is about 487.6119821645.

The spelling of 115937280 in words is "one hundred fifteen million, nine hundred thirty-seven thousand, two hundred eighty".