116511840 has 72 divisors (see below), whose sum is σ = 397601568. Its totient is φ = 31069440.

The previous prime is 116511839. The next prime is 116511847. The reversal of 116511840 is 48115611.

116511840 is a `hidden beast` number, since 1 + 1 + 651 + 1 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116511847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39016 + ... + 41895.

It is an arithmetic number, because the mean of its divisors is an integer number (5522244).

Almost surely, 2^116511840 is an apocalyptic number.

116511840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116511840 is an abundant number, since it is smaller than the sum of its proper divisors (281089728).

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

116511840 is a wasteful number, since it uses less digits than its factorization.

116511840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80932 (or 80921 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 116511840 is about 10794.0650359353. The cubic root of 116511840 is about 488.4161549108.

The spelling of 116511840 in words is "one hundred sixteen million, five hundred eleven thousand, eight hundred forty".