116180064 has 432 divisors, whose sum is σ = 460422144. Its totient is φ = 26956800.

The previous prime is 116180059. The next prime is 116180083. The reversal of 116180064 is 460081611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3747729 + ... + 3747759.

It is an arithmetic number, because the mean of its divisors is an integer number (1065792).

Almost surely, 2^116180064 is an apocalyptic number.

116180064 is a gapful number since it is divisible by the number (14) 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 116180064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230211072).

116180064 is an abundant number, since it is smaller than the sum of its proper divisors (344242080).

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

116180064 is a wasteful number, since it uses less digits than its factorization.

116180064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 116180064 is about 10778.6856341578. The cubic root of 116180064 is about 487.9521139073.

It can be divided in two parts, 1161 and 80064, that added together give a square (81225 = 285²).

The spelling of 116180064 in words is "one hundred sixteen million, one hundred eighty thousand, sixty-four".