112814880 has 96 divisors (see below), whose sum is σ = 359178624. Its totient is φ = 29761536.

The previous prime is 112814851. The next prime is 112814881. The reversal of 112814880 is 88418211.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (112814881) by changing a digit.

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, 45349 + ... + 47771.

It is an arithmetic number, because the mean of its divisors is an integer number (3741444).

Almost surely, 2^112814880 is an apocalyptic number.

112814880 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 112814880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179589312).

112814880 is an abundant number, since it is smaller than the sum of its proper divisors (246363744).

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

112814880 is a wasteful number, since it uses less digits than its factorization.

112814880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 33.

The square root of 112814880 is about 10621.4349313075. The cubic root of 112814880 is about 483.1946628213.

It can be divided in two parts, 11281 and 4880, that added together give a palindrome (16161).

The spelling of 112814880 in words is "one hundred twelve million, eight hundred fourteen thousand, eight hundred eighty".