116138880 has 512 divisors, whose sum is σ = 493516800. Its totient is φ = 25436160.

The previous prime is 116138863. The next prime is 116138899. The reversal of 116138880 is 88831611.

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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2471017 + ... + 2471063.

It is an arithmetic number, because the mean of its divisors is an integer number (963900).

Almost surely, 2^116138880 is an apocalyptic number.

116138880 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 116138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246758400).

116138880 is an abundant number, since it is smaller than the sum of its proper divisors (377377920).

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

116138880 is a wasteful number, since it uses less digits than its factorization.

116138880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 116138880 is about 10776.7750278086. The cubic root of 116138880 is about 487.8944499841.

The spelling of 116138880 in words is "one hundred sixteen million, one hundred thirty-eight thousand, eight hundred eighty".