112567968 has 120 divisors (see below), whose sum is σ = 334527732. Its totient is φ = 37131264.

The previous prime is 112567943. The next prime is 112567981. The reversal of 112567968 is 869765211.

It can be written as a sum of positive squares in 2 ways, for example, as 106750224 + 5817744 = 10332^2 + 2412^2 .

It is a super-3 number, since 3×112567968³ (a number of 25 digits) contains 333 as substring.

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 19 ways as a sum of consecutive naturals, for example, 354946 + ... + 355262.

Almost surely, 2^112567968 is an apocalyptic number.

112567968 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 112567968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167263866).

112567968 is an abundant number, since it is smaller than the sum of its proper divisors (221959764).

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

112567968 is a wasteful number, since it uses less digits than its factorization.

112567968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 459 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 112567968 is about 10609.8052762527. The cubic root of 112567968 is about 482.8418910753.

The spelling of 112567968 in words is "one hundred twelve million, five hundred sixty-seven thousand, nine hundred sixty-eight".