112740480 has 288 divisors, whose sum is σ = 417968460. Its totient is φ = 27979776.

The previous prime is 112740479. The next prime is 112740491. The reversal of 112740480 is 84047211.

112740480 is a `hidden beast` number, since 112 + 74 + 0 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 109998144 + 2742336 = 10488^2 + 1656^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3047022 + ... + 3047058.

Almost surely, 2^112740480 is an apocalyptic number.

112740480 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 112740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208984230).

112740480 is an abundant number, since it is smaller than the sum of its proper divisors (305227980).

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

112740480 is a wasteful number, since it uses less digits than its factorization.

112740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 112740480 is about 10617.9320020426. The cubic root of 112740480 is about 483.0884191869.

Adding to 112740480 its reverse (84047211), we get a palindrome (196787691).

The spelling of 112740480 in words is "one hundred twelve million, seven hundred forty thousand, four hundred eighty".