112436640 has 192 divisors, whose sum is σ = 416949120. Its totient is φ = 28200960.

The previous prime is 112436593. The next prime is 112436641. The reversal of 112436640 is 46634211.

112436640 is a `hidden beast` number, since 1 + 12 + 4 + 3 + 6 + 640 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (112436641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72675 + ... + 74205.

It is an arithmetic number, because the mean of its divisors is an integer number (2171610).

Almost surely, 2^112436640 is an apocalyptic number.

112436640 is a gapful number since it is divisible by the number (10) 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 112436640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208474560).

112436640 is an abundant number, since it is smaller than the sum of its proper divisors (304512480).

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

112436640 is a wasteful number, since it uses less digits than its factorization.

112436640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1558 counting only the distinct ones).

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

The square root of 112436640 is about 10603.6144780919. The cubic root of 112436640 is about 482.6540480135.

The spelling of 112436640 in words is "one hundred twelve million, four hundred thirty-six thousand, six hundred forty".