116409312 has 120 divisors (see below), whose sum is σ = 346633056. Its totient is φ = 38320128.

The previous prime is 116409287. The next prime is 116409329. The reversal of 116409312 is 213904611.

116409312 is a `hidden beast` number, since 1 + 1 + 640 + 9 + 3 + 12 = 666.

It is a super-2 number, since 2×116409312² = 27102255840626688, which contains 22 as substring.

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

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, 251193 + ... + 251655.

Almost surely, 2^116409312 is an apocalyptic number.

116409312 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 116409312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173316528).

116409312 is an abundant number, since it is smaller than the sum of its proper divisors (230223744).

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

116409312 is an equidigital number, since it uses as much as digits as its factorization.

116409312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 116409312 is about 10789.3147141049. The cubic root of 116409312 is about 488.2728475084.

The spelling of 116409312 in words is "one hundred sixteen million, four hundred nine thousand, three hundred twelve".