112946080 has 72 divisors (see below), whose sum is σ = 289008972. Its totient is φ = 41693184.

The previous prime is 112946033. The next prime is 112946081. The reversal of 112946080 is 80649211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 33593616 + 79352464 = 5796^2 + 8908^2 .

It is a super-3 number, since 3×112946080³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (112946081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24952 + ... + 29128.

Almost surely, 2^112946080 is an apocalyptic number.

112946080 is a gapful number since it is divisible by the number (10) 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 112946080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144504486).

112946080 is an abundant number, since it is smaller than the sum of its proper divisors (176062892).

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

112946080 is a wasteful number, since it uses less digits than its factorization.

112946080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4218 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 112946080 is about 10627.6093266548. The cubic root of 112946080 is about 483.3819034292.

The spelling of 112946080 in words is "one hundred twelve million, nine hundred forty-six thousand, eighty".