115763120 has 60 divisors (see below), whose sum is σ = 295866480. Its totient is φ = 42092160.

The previous prime is 115763113. The next prime is 115763129. The reversal of 115763120 is 21367511.

It is a self number, because there is not a number n which added to its sum of digits gives 115763120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115763129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3701 + ... + 15659.

It is an arithmetic number, because the mean of its divisors is an integer number (4931108).

Almost surely, 2^115763120 is an apocalyptic number.

115763120 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 115763120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147933240).

115763120 is an abundant number, since it is smaller than the sum of its proper divisors (180103360).

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

115763120 is a wasteful number, since it uses less digits than its factorization.

115763120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11994 (or 11977 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 115763120 is about 10759.3271165069. The cubic root of 115763120 is about 487.3676976064.

The spelling of 115763120 in words is "one hundred fifteen million, seven hundred sixty-three thousand, one hundred twenty".