116402832 has 360 divisors, whose sum is σ = 432222336. Its totient is φ = 30046464.

The previous prime is 116402827. The next prime is 116402837. The reversal of 116402832 is 238204611.

116402832 is a `hidden beast` number, since 11 + 640 + 2 + 8 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (116402827) and next prime (116402837).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 = 116402796 and 116402805.

It is not an unprimeable number, because it can be changed into a prime (116402837) 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 71 ways as a sum of consecutive naturals, for example, 2476633 + ... + 2476679.

Almost surely, 2^116402832 is an apocalyptic number.

116402832 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 116402832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216111168).

116402832 is an abundant number, since it is smaller than the sum of its proper divisors (315819504).

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

116402832 is a wasteful number, since it uses less digits than its factorization.

116402832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 72 counting only the distinct ones).

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

The square root of 116402832 is about 10789.0144128183. The cubic root of 116402832 is about 488.2637873318.

The spelling of 116402832 in words is "one hundred sixteen million, four hundred two thousand, eight hundred thirty-two".