116226432 has 288 divisors, whose sum is σ = 408142800. Its totient is φ = 31610880.

The previous prime is 116226421. The next prime is 116226491. The reversal of 116226432 is 234622611.

116226432 is a `hidden beast` number, since 1 + 1 + 6 + 226 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 116226396 and 116226405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1636957 + ... + 1637027.

Almost surely, 2^116226432 is an apocalyptic number.

116226432 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 116226432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204071400).

116226432 is an abundant number, since it is smaller than the sum of its proper divisors (291916368).

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

116226432 is a wasteful number, since it uses less digits than its factorization.

116226432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 116226432 is about 10780.8363311943. The cubic root of 116226432 is about 488.0170199206.

The spelling of 116226432 in words is "one hundred sixteen million, two hundred twenty-six thousand, four hundred thirty-two".