116023824 has 240 divisors, whose sum is σ = 396165120. Its totient is φ = 31000320.

The previous prime is 116023813. The next prime is 116023829. The reversal of 116023824 is 428320611.

116023824 is a `hidden beast` number, since 1 + 1 + 602 + 38 + 24 = 666.

It is not an unprimeable number, because it can be changed into a prime (116023829) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1468617 + ... + 1468695.

It is an arithmetic number, because the mean of its divisors is an integer number (1650688).

Almost surely, 2^116023824 is an apocalyptic number.

116023824 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 116023824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198082560).

116023824 is an abundant number, since it is smaller than the sum of its proper divisors (280141296).

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

116023824 is a wasteful number, since it uses less digits than its factorization.

116023824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 116023824 is about 10771.4355589216. The cubic root of 116023824 is about 487.7332816446.

The spelling of 116023824 in words is "one hundred sixteen million, twenty-three thousand, eight hundred twenty-four".