112506408 has 160 divisors (see below), whose sum is σ = 381585600. Its totient is φ = 30233088.

The previous prime is 112506389. The next prime is 112506431. The reversal of 112506408 is 804605211.

112506408 is a `hidden beast` number, since 1 + 1 + 250 + 6 + 408 = 666.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 76383 + ... + 77841.

It is an arithmetic number, because the mean of its divisors is an integer number (2384910).

Almost surely, 2^112506408 is an apocalyptic number.

112506408 is a gapful number since it is divisible by the number (18) 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 112506408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190792800).

112506408 is an abundant number, since it is smaller than the sum of its proper divisors (269079192).

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

112506408 is a wasteful number, since it uses less digits than its factorization.

112506408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1488 counting only the distinct ones).

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

The square root of 112506408 is about 10606.9037895137. The cubic root of 112506408 is about 482.7538578414.

The spelling of 112506408 in words is "one hundred twelve million, five hundred six thousand, four hundred eight".