112406616 has 80 divisors (see below), whose sum is σ = 359834640. Its totient is φ = 32114880.

The previous prime is 112406599. The next prime is 112406633. The reversal of 112406616 is 616604211.

112406616 is a `hidden beast` number, since 1 + 1 + 2 + 40 + 6 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (112406599) and next prime (112406633).

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

It is a self number, because there is not a number n which added to its sum of digits gives 112406616.

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, 7855 + ... + 16926.

It is an arithmetic number, because the mean of its divisors is an integer number (4497933).

Almost surely, 2^112406616 is an apocalyptic number.

It is an amenable number.

112406616 is an abundant number, since it is smaller than the sum of its proper divisors (247428024).

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

112406616 is a wasteful number, since it uses less digits than its factorization.

112406616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24806 (or 24793 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 112406616 is about 10602.1986399048. The cubic root of 112406616 is about 482.6110830892.

The spelling of 112406616 in words is "one hundred twelve million, four hundred six thousand, six hundred sixteen".