116824032 has 120 divisors (see below), whose sum is σ = 370111896. Its totient is φ = 35935488.

The previous prime is 116824021. The next prime is 116824049. The reversal of 116824032 is 230428611.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 116823987 and 116824005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31963 + ... + 35429.

Almost surely, 2^116824032 is an apocalyptic number.

116824032 is a gapful number since it is divisible by the number (12) 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 116824032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185055948).

116824032 is an abundant number, since it is smaller than the sum of its proper divisors (253287864).

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

116824032 is a wasteful number, since it uses less digits than its factorization.

116824032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3502 (or 3485 counting only the distinct ones).

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

The square root of 116824032 is about 10808.5166419819. The cubic root of 116824032 is about 488.8520008286.

It can be divided in two parts, 1168 and 24032, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 116824032 in words is "one hundred sixteen million, eight hundred twenty-four thousand, thirty-two".