116938800 has 180 divisors, whose sum is σ = 442851864. Its totient is φ = 28339200.

The previous prime is 116938793. The next prime is 116938807. The reversal of 116938800 is 8839611.

It is an interprime number because it is at equal distance from previous prime (116938793) and next prime (116938807).

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (116938807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38124 + ... + 41076.

Almost surely, 2^116938800 is an apocalyptic number.

116938800 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 116938800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221425932).

116938800 is an abundant number, since it is smaller than the sum of its proper divisors (325913064).

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

116938800 is a wasteful number, since it uses less digits than its factorization.

116938800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988 (or 2974 counting only the distinct ones).

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

The square root of 116938800 is about 10813.8244853521. The cubic root of 116938800 is about 489.0120312696.

The spelling of 116938800 in words is "one hundred sixteen million, nine hundred thirty-eight thousand, eight hundred".