116077824 has 108 divisors (see below), whose sum is σ = 339271296. Its totient is φ = 38163456.

The previous prime is 116077817. The next prime is 116077837. The reversal of 116077824 is 428770611.

It is a super-2 number, since 2×116077824² = 26948122449149952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190929 + ... + 191535.

Almost surely, 2^116077824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116077824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169635648).

116077824 is an abundant number, since it is smaller than the sum of its proper divisors (223193472).

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

116077824 is an equidigital number, since it uses as much as digits as its factorization.

116077824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 116077824 is about 10773.9418970032. The cubic root of 116077824 is about 487.8089371187.

The spelling of 116077824 in words is "one hundred sixteen million, seventy-seven thousand, eight hundred twenty-four".