115679520 has 288 divisors, whose sum is σ = 441080640. Its totient is φ = 27371520.

The previous prime is 115679497. The next prime is 115679527. The reversal of 115679520 is 25976511.

115679520 is a `hidden beast` number, since 1 + 1 + 567 + 95 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (115679527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1061226 + ... + 1061334.

It is an arithmetic number, because the mean of its divisors is an integer number (1531530).

Almost surely, 2^115679520 is an apocalyptic number.

115679520 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 115679520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220540320).

115679520 is an abundant number, since it is smaller than the sum of its proper divisors (325401120).

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

115679520 is a wasteful number, since it uses less digits than its factorization.

115679520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 115679520 is about 10755.4414135358. The cubic root of 115679520 is about 487.2503494925.

The spelling of 115679520 in words is "one hundred fifteen million, six hundred seventy-nine thousand, five hundred twenty".