112459968 has 112 divisors (see below), whose sum is σ = 333573120. Its totient is φ = 37152000.

The previous prime is 112459967. The next prime is 112459979. The reversal of 112459968 is 869954211.

It is a super-2 number, since 2×112459968² = 25294488805122048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112459967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260713 + ... + 261143.

Almost surely, 2^112459968 is an apocalyptic number.

112459968 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 112459968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166786560).

112459968 is an abundant number, since it is smaller than the sum of its proper divisors (221113152).

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

112459968 is a wasteful number, since it uses less digits than its factorization.

112459968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 587 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 112459968 is about 10604.7144233119. The cubic root of 112459968 is about 482.6874255526.

The spelling of 112459968 in words is "one hundred twelve million, four hundred fifty-nine thousand, nine hundred sixty-eight".