116115584 has 64 divisors (see below), whose sum is σ = 257268480. Its totient is φ = 51840000.

The previous prime is 116115581. The next prime is 116115611. The reversal of 116115584 is 485511611.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×116115584² = 26965657695322112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 116115584.

It is not an unprimeable number, because it can be changed into a prime (116115581) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50459 + ... + 52709.

It is an arithmetic number, because the mean of its divisors is an integer number (4019820).

Almost surely, 2^116115584 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 116115584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128634240).

116115584 is an abundant number, since it is smaller than the sum of its proper divisors (141152896).

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

116115584 is a wasteful number, since it uses less digits than its factorization.

116115584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309 (or 2297 counting only the distinct ones).

The product of its digits is 4800, while the sum is 32.

The square root of 116115584 is about 10775.6941307741. The cubic root of 116115584 is about 487.8618259706.

The spelling of 116115584 in words is "one hundred sixteen million, one hundred fifteen thousand, five hundred eighty-four".