116726400 has 384 divisors, whose sum is σ = 490742400. Its totient is φ = 26542080.

The previous prime is 116726399. The next prime is 116726411. The reversal of 116726400 is 4627611.

116726400 is a `hidden beast` number, since 1 + 16 + 7 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 604704 + ... + 604896.

It is an arithmetic number, because the mean of its divisors is an integer number (1277975).

Almost surely, 2^116726400 is an apocalyptic number.

116726400 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 116726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245371200).

116726400 is an abundant number, since it is smaller than the sum of its proper divisors (374016000).

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

116726400 is a wasteful number, since it uses less digits than its factorization.

116726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 116726400 is about 10803.9992595335. Note that the first 3 decimals coincide. The cubic root of 116726400 is about 488.7157819944.

The spelling of 116726400 in words is "one hundred sixteen million, seven hundred twenty-six thousand, four hundred".