116287200 has 216 divisors, whose sum is σ = 424097856. Its totient is φ = 29952000.

The previous prime is 116287183. The next prime is 116287211. The reversal of 116287200 is 2782611.

116287200 is a `hidden beast` number, since 11 + 628 + 7 + 20 + 0 = 666.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 222940 + ... + 223460.

It is an arithmetic number, because the mean of its divisors is an integer number (1963416).

Almost surely, 2^116287200 is an apocalyptic number.

116287200 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 116287200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212048928).

116287200 is an abundant number, since it is smaller than the sum of its proper divisors (307810656).

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

116287200 is a wasteful number, since it uses less digits than its factorization.

116287200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 116287200 is about 10783.6542971295. The cubic root of 116287200 is about 488.1020569494.

The spelling of 116287200 in words is "one hundred sixteen million, two hundred eighty-seven thousand, two hundred".