115917120 has 168 divisors, whose sum is σ = 435071520. Its totient is φ = 28093440.

The previous prime is 115917107. The next prime is 115917133. The reversal of 115917120 is 21719511.

115917120 is a `hidden beast` number, since 1 + 1 + 591 + 71 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (115917107) and next prime (115917133).

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, 29851 + ... + 33509.

Almost surely, 2^115917120 is an apocalyptic number.

115917120 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 115917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217535760).

115917120 is an abundant number, since it is smaller than the sum of its proper divisors (319154400).

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

115917120 is a wasteful number, since it uses less digits than its factorization.

115917120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3693 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 27.

The square root of 115917120 is about 10766.4813193541. The cubic root of 115917120 is about 487.5837173780.

The spelling of 115917120 in words is "one hundred fifteen million, nine hundred seventeen thousand, one hundred twenty".