116600400 has 270 divisors, whose sum is σ = 471410862. Its totient is φ = 26611200.

The previous prime is 116600383. The next prime is 116600401. The reversal of 116600400 is 4006611.

116600400 is a `hidden beast` number, since 1 + 1 + 660 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 18352656 + 98247744 = 4284^2 + 9912^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116600401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 176070 + ... + 176730.

Almost surely, 2^116600400 is an apocalyptic number.

116600400 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 116600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235705431).

116600400 is an abundant number, since it is smaller than the sum of its proper divisors (354810462).

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

116600400 is a wasteful number, since it uses less digits than its factorization.

116600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 116600400 is about 10798.1665110333. The cubic root of 116600400 is about 488.5398710362.

The spelling of 116600400 in words is "one hundred sixteen million, six hundred thousand, four hundred".