116892600 has 192 divisors, whose sum is σ = 401760000. Its totient is φ = 27878400.

The previous prime is 116892593. The next prime is 116892641. The reversal of 116892600 is 6298611.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 587301 + ... + 587499.

It is an arithmetic number, because the mean of its divisors is an integer number (2092500).

Almost surely, 2^116892600 is an apocalyptic number.

116892600 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 116892600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200880000).

116892600 is an abundant number, since it is smaller than the sum of its proper divisors (284867400).

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

116892600 is a wasteful number, since it uses less digits than its factorization.

116892600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 116892600 is about 10811.6881198081. The cubic root of 116892600 is about 488.9476234148.

The spelling of 116892600 in words is "one hundred sixteen million, eight hundred ninety-two thousand, six hundred".