115058688 has 96 divisors (see below), whose sum is σ = 312792480. Its totient is φ = 37601280.

The previous prime is 115058683. The next prime is 115058693. The reversal of 115058688 is 886850511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (115058683) and next prime (115058693).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (115058683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 374631 + ... + 374937.

It is an arithmetic number, because the mean of its divisors is an integer number (3258255).

Almost surely, 2^115058688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115058688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156396240).

115058688 is an abundant number, since it is smaller than the sum of its proper divisors (197733792).

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

115058688 is an equidigital number, since it uses as much as digits as its factorization.

115058688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 42.

The square root of 115058688 is about 10726.5412878523. The cubic root of 115058688 is about 486.3771226544.

The spelling of 115058688 in words is "one hundred fifteen million, fifty-eight thousand, six hundred eighty-eight".