116140800 has 216 divisors, whose sum is σ = 401474304. Its totient is φ = 29511680.

The previous prime is 116140781. The next prime is 116140831. The reversal of 116140800 is 8041611.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441469 + ... + 441731.

Almost surely, 2^116140800 is an apocalyptic number.

116140800 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 116140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200737152).

116140800 is an abundant number, since it is smaller than the sum of its proper divisors (285333504).

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

116140800 is a wasteful number, since it uses less digits than its factorization.

116140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 116140800 is about 10776.8641078934. The cubic root of 116140800 is about 487.8971385818.

The spelling of 116140800 in words is "one hundred sixteen million, one hundred forty thousand, eight hundred".