116623584 has 192 divisors, whose sum is σ = 424327680. Its totient is φ = 30274560.

The previous prime is 116623561. The next prime is 116623597. The reversal of 116623584 is 485326611.

It is a happy number.

116623584 is a `hidden beast` number, since 1 + 16 + 62 + 3 + 584 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65652 + ... + 67404.

It is an arithmetic number, because the mean of its divisors is an integer number (2210040).

Almost surely, 2^116623584 is an apocalyptic number.

116623584 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 116623584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212163840).

116623584 is an abundant number, since it is smaller than the sum of its proper divisors (307704096).

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

116623584 is a wasteful number, since it uses less digits than its factorization.

116623584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1776 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 116623584 is about 10799.2399732574. The cubic root of 116623584 is about 488.5722481629.

The spelling of 116623584 in words is "one hundred sixteen million, six hundred twenty-three thousand, five hundred eighty-four".