116586432 has 224 divisors, whose sum is σ = 373075200. Its totient is φ = 35582976.

The previous prime is 116586427. The next prime is 116586487. The reversal of 116586432 is 234685611.

It is a happy number.

116586432 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 8 + 643 + 2 = 666.

It is a super-2 number, since 2×116586432² = 27184792252981248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

Its product of digits (34560) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1740063 + ... + 1740129.

Almost surely, 2^116586432 is an apocalyptic number.

116586432 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 116586432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186537600).

116586432 is an abundant number, since it is smaller than the sum of its proper divisors (256488768).

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

116586432 is a wasteful number, since it uses less digits than its factorization.

116586432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 116586432 is about 10797.5197151939. The cubic root of 116586432 is about 488.5203622483.

The spelling of 116586432 in words is "one hundred sixteen million, five hundred eighty-six thousand, four hundred thirty-two".