116919936 has 224 divisors, whose sum is σ = 401349600. Its totient is φ = 33219072.

The previous prime is 116919919. The next prime is 116919991. The reversal of 116919936 is 639919611.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 116919891 and 116919900.

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 27 ways as a sum of consecutive naturals, for example, 653095 + ... + 653273.

Almost surely, 2^116919936 is an apocalyptic number.

116919936 is a gapful number since it is divisible by the number (16) 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 116919936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200674800).

116919936 is an abundant number, since it is smaller than the sum of its proper divisors (284429664).

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

116919936 is an frugal number, since it uses more digits than its factorization.

116919936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 191 counting only the distinct ones).

The product of its digits is 78732, while the sum is 45.

The square root of 116919936 is about 10812.9522333172. The cubic root of 116919936 is about 488.9857348392.

It can be divided in two parts, 116919 and 936, that added together give a triangular number (117855 = T₄₈₅).

The spelling of 116919936 in words is "one hundred sixteen million, nine hundred nineteen thousand, nine hundred thirty-six".