116938080 has 240 divisors, whose sum is σ = 472016160. Its totient is φ = 26707968.

The previous prime is 116938061. The next prime is 116938117. The reversal of 116938080 is 80839611.

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 90076 + ... + 91364.

It is an arithmetic number, because the mean of its divisors is an integer number (1966734).

Almost surely, 2^116938080 is an apocalyptic number.

116938080 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 116938080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236008080).

116938080 is an abundant number, since it is smaller than the sum of its proper divisors (355078080).

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

116938080 is a wasteful number, since it uses less digits than its factorization.

116938080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 116938080 is about 10813.7911945811. The cubic root of 116938080 is about 489.0110276410.

The spelling of 116938080 in words is "one hundred sixteen million, nine hundred thirty-eight thousand, eighty".