112985856 has 216 divisors, whose sum is σ = 358722000. Its totient is φ = 34062336.

The previous prime is 112985843. The next prime is 112985863. The reversal of 112985856 is 658589211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1269460 + ... + 1269548.

It is an arithmetic number, because the mean of its divisors is an integer number (1660750).

Almost surely, 2^112985856 is an apocalyptic number.

112985856 is a gapful number since it is divisible by the number (16) 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 112985856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179361000).

112985856 is an abundant number, since it is smaller than the sum of its proper divisors (245736144).

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

112985856 is a wasteful number, since it uses less digits than its factorization.

112985856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its digits is 172800, while the sum is 45.

The square root of 112985856 is about 10629.4805141173. The cubic root of 112985856 is about 483.4386406558.

The spelling of 112985856 in words is "one hundred twelve million, nine hundred eighty-five thousand, eight hundred fifty-six".