116906400 has 216 divisors, whose sum is σ = 444307500. Its totient is φ = 28753920.

The previous prime is 116906369. The next prime is 116906423. The reversal of 116906400 is 4609611.

116906400 is a `hidden beast` number, since 1 + 16 + 9 + 0 + 640 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 17943696 + 98962704 = 4236^2 + 9948^2 .

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, 92976 + ... + 94224.

Almost surely, 2^116906400 is an apocalyptic number.

116906400 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 116906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222153750).

116906400 is an abundant number, since it is smaller than the sum of its proper divisors (327401100).

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

116906400 is a wasteful number, since it uses less digits than its factorization.

116906400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 116906400 is about 10812.3262991828. The cubic root of 116906400 is about 488.9668639019.

The spelling of 116906400 in words is "one hundred sixteen million, nine hundred six thousand, four hundred".