112849968 has 160 divisors (see below), whose sum is σ = 382832640. Its totient is φ = 27751680.

The previous prime is 112849921. The next prime is 112850033. The reversal of 112849968 is 869948211.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69421 + ... + 71027.

It is an arithmetic number, because the mean of its divisors is an integer number (2392704).

Almost surely, 2^112849968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112849968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191416320).

112849968 is an abundant number, since it is smaller than the sum of its proper divisors (269982672).

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

112849968 is a wasteful number, since it uses less digits than its factorization.

112849968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1649 counting only the distinct ones).

The product of its digits is 248832, while the sum is 48.

The square root of 112849968 is about 10623.0865571170. The cubic root of 112849968 is about 483.2447524812.

The spelling of 112849968 in words is "one hundred twelve million, eight hundred forty-nine thousand, nine hundred sixty-eight".