116017824 has 72 divisors (see below), whose sum is σ = 329821632. Its totient is φ = 35692800.

The previous prime is 116017813. The next prime is 116017859. The reversal of 116017824 is 428710611.

It is a junction number, because it is equal to n+sod(n) for n = 116017791 and 116017800.

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, 12649 + ... + 19799.

It is an arithmetic number, because the mean of its divisors is an integer number (4580856).

Almost surely, 2^116017824 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 116017824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164910816).

116017824 is an abundant number, since it is smaller than the sum of its proper divisors (213803808).

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

116017824 is a wasteful number, since it uses less digits than its factorization.

116017824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7190 (or 7169 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 116017824 is about 10771.1570409125. The cubic root of 116017824 is about 487.7248740319.

The spelling of 116017824 in words is "one hundred sixteen million, seventeen thousand, eight hundred twenty-four".