116186400 has 360 divisors, whose sum is σ = 465063984. Its totient is φ = 27993600.

The previous prime is 116186393. The next prime is 116186407. The reversal of 116186400 is 4681611.

116186400 is a `hidden beast` number, since 1 + 1 + 6 + 18 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (116186393) and next prime (116186407).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (116186407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 712719 + ... + 712881.

Almost surely, 2^116186400 is an apocalyptic number.

116186400 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 116186400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232531992).

116186400 is an abundant number, since it is smaller than the sum of its proper divisors (348877584).

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

116186400 is a wasteful number, since it uses less digits than its factorization.

116186400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 116186400 is about 10778.9795435375. The cubic root of 116186400 is about 487.9609840706.

The spelling of 116186400 in words is "one hundred sixteen million, one hundred eighty-six thousand, four hundred".