116832144 has 80 divisors (see below), whose sum is σ = 354602304. Its totient is φ = 32678400.

The previous prime is 116832139. The next prime is 116832151. The reversal of 116832144 is 441238611.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1647 + ... + 15374.

Almost surely, 2^116832144 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 116832144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177301152).

116832144 is an abundant number, since it is smaller than the sum of its proper divisors (237770160).

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

116832144 is a wasteful number, since it uses less digits than its factorization.

116832144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17056 (or 17050 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 116832144 is about 10808.8918951019. The cubic root of 116832144 is about 488.8633154973.

The spelling of 116832144 in words is "one hundred sixteen million, eight hundred thirty-two thousand, one hundred forty-four".