116636112 has 120 divisors (see below), whose sum is σ = 342582240. Its totient is φ = 38413440.

The previous prime is 116636111. The next prime is 116636119. The reversal of 116636112 is 211636611.

116636112 is a `hidden beast` number, since 1 + 16 + 636 + 1 + 12 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116636111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 509214 + ... + 509442.

It is an arithmetic number, because the mean of its divisors is an integer number (2854852).

Almost surely, 2^116636112 is an apocalyptic number.

116636112 is a gapful number since it is divisible by the number (12) 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 116636112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171291120).

116636112 is an abundant number, since it is smaller than the sum of its proper divisors (225946128).

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

116636112 is a wasteful number, since it uses less digits than its factorization.

116636112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 365 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 116636112 is about 10799.8199985000. The cubic root of 116636112 is about 488.5897420915.

The spelling of 116636112 in words is "one hundred sixteen million, six hundred thirty-six thousand, one hundred twelve".