112508640 has 288 divisors, whose sum is σ = 415134720. Its totient is φ = 27675648.

The previous prime is 112508593. The next prime is 112508657. The reversal of 112508640 is 46805211.

112508640 is a `hidden beast` number, since 1 + 12 + 5 + 0 + 8 + 640 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1424121 + ... + 1424199.

It is an arithmetic number, because the mean of its divisors is an integer number (1441440).

Almost surely, 2^112508640 is an apocalyptic number.

112508640 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 112508640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207567360).

112508640 is an abundant number, since it is smaller than the sum of its proper divisors (302626080).

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

112508640 is a wasteful number, since it uses less digits than its factorization.

112508640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 112508640 is about 10607.0090034844. The cubic root of 112508640 is about 482.7570502506.

The spelling of 112508640 in words is "one hundred twelve million, five hundred eight thousand, six hundred forty".