116400 has 60 divisors (see below), whose sum is σ = 376712. Its totient is φ = 30720.

The previous prime is 116387. The next prime is 116411. The reversal of 116400 is 4611.

116400 = 6⁵ + 7⁵ + ... + 9⁵.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

116400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1152 + ... + 1248.

2¹¹⁶⁴⁰⁰ is an apocalyptic number.

116400 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 116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188356).

116400 is an abundant number, since it is smaller than the sum of its proper divisors (260312).

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

116400 is a wasteful number, since it uses less digits than its factorization.

116400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 116400 is about 341.1744421846. The cubic root of 116400 is about 48.8259827593.

The spelling of 116400 in words is "one hundred sixteen thousand, four hundred".