112919040 has 360 divisors, whose sum is σ = 438069060. Its totient is φ = 26836992.

The previous prime is 112918963. The next prime is 112919041. The reversal of 112919040 is 40919211.

It can be written as a sum of positive squares in 6 ways, for example, as 12278016 + 100641024 = 3504^2 + 10032^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 112918995 and 112919013.

It is not an unprimeable number, because it can be changed into a prime (112919041) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3893746 + ... + 3893774.

Almost surely, 2^112919040 is an apocalyptic number.

112919040 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 112919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219034530).

112919040 is an abundant number, since it is smaller than the sum of its proper divisors (325150020).

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

112919040 is a wasteful number, since it uses less digits than its factorization.

112919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 112919040 is about 10626.3370923381. The cubic root of 112919040 is about 483.3433254639.

The spelling of 112919040 in words is "one hundred twelve million, nine hundred nineteen thousand, forty".