115716384 has 288 divisors, whose sum is σ = 414771840. Its totient is φ = 30730752.

The previous prime is 115716383. The next prime is 115716389. The reversal of 115716384 is 483617511.

115716384 is a `hidden beast` number, since 1 + 1 + 571 + 6 + 3 + 84 = 666.

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

It is a super-3 number, since 3×115716384³ (a number of 25 digits) contains 333 as substring.

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

Its product of digits (20160) is a multiple of the sum of its prime divisors (84).

It is not an unprimeable number, because it can be changed into a prime (115716383) 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, 2183302 + ... + 2183354.

It is an arithmetic number, because the mean of its divisors is an integer number (1440180).

Almost surely, 2^115716384 is an apocalyptic number.

115716384 is a gapful number since it is divisible by the number (14) 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 115716384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207385920).

115716384 is an abundant number, since it is smaller than the sum of its proper divisors (299055456).

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

115716384 is a wasteful number, since it uses less digits than its factorization.

115716384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 84 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 115716384 is about 10757.1550142219. The cubic root of 115716384 is about 487.3021019237.

It can be divided in two parts, 11571 and 6384, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 115716384 in words is "one hundred fifteen million, seven hundred sixteen thousand, three hundred eighty-four".