116614400 has 216 divisors, whose sum is σ = 349769280. Its totient is φ = 37601280.

The previous prime is 116614397. The next prime is 116614411. The reversal of 116614400 is 4416611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 851132 + ... + 851268.

Almost surely, 2^116614400 is an apocalyptic number.

116614400 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 116614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174884640).

116614400 is an abundant number, since it is smaller than the sum of its proper divisors (233154880).

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

116614400 is a wasteful number, since it uses less digits than its factorization.

116614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 116614400 is about 10798.8147497769. The cubic root of 116614400 is about 488.5594229545.

It can be divided in two parts, 11661 and 4400, that added together give a palindrome (16061).

The spelling of 116614400 in words is "one hundred sixteen million, six hundred fourteen thousand, four hundred".