112756440 has 64 divisors (see below), whose sum is σ = 344671200. Its totient is φ = 29499392.

The previous prime is 112756417. The next prime is 112756453. The reversal of 112756440 is 44657211.

It is a super-2 number, since 2×112756440² = 25428029522947200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 112756398 and 112756407.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2505 + ... + 15224.

Almost surely, 2^112756440 is an apocalyptic number.

112756440 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 112756440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172335600).

112756440 is an abundant number, since it is smaller than the sum of its proper divisors (231914760).

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

112756440 is a wasteful number, since it uses less digits than its factorization.

112756440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17796 (or 17792 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 112756440 is about 10618.6835342240. The cubic root of 112756440 is about 483.1112140972. Note that the first 3 decimals are identical.

The spelling of 112756440 in words is "one hundred twelve million, seven hundred fifty-six thousand, four hundred forty".