116937600 has 192 divisors, whose sum is σ = 415233840. Its totient is φ = 28753920.

The previous prime is 116937563. The next prime is 116937607. The reversal of 116937600 is 6739611.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116937607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124332 + ... + 125268.

Almost surely, 2^116937600 is an apocalyptic number.

116937600 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 116937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207616920).

116937600 is an abundant number, since it is smaller than the sum of its proper divisors (298296240).

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

116937600 is a wasteful number, since it uses less digits than its factorization.

116937600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 116937600 is about 10813.7690006769. The cubic root of 116937600 is about 489.0103585529.

The spelling of 116937600 in words is "one hundred sixteen million, nine hundred thirty-seven thousand, six hundred".