116414880 has 96 divisors (see below), whose sum is σ = 368432064. Its totient is φ = 30898176.

The previous prime is 116414869. The next prime is 116414927. The reversal of 116414880 is 88414611.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135412 + ... + 136268.

It is an arithmetic number, because the mean of its divisors is an integer number (3837834).

Almost surely, 2^116414880 is an apocalyptic number.

116414880 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 116414880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184216032).

116414880 is an abundant number, since it is smaller than the sum of its proper divisors (252017184).

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

116414880 is a wasteful number, since it uses less digits than its factorization.

116414880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 116414880 is about 10789.5727440895. The cubic root of 116414880 is about 488.2806322804.

The spelling of 116414880 in words is "one hundred sixteen million, four hundred fourteen thousand, eight hundred eighty".