112761960 has 128 divisors (see below), whose sum is σ = 359683200. Its totient is φ = 28279296.

The previous prime is 112761959. The next prime is 112761989. The reversal of 112761960 is 69167211.

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 31 ways as a sum of consecutive naturals, for example, 823012 + ... + 823148.

It is an arithmetic number, because the mean of its divisors is an integer number (2810025).

Almost surely, 2^112761960 is an apocalyptic number.

112761960 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 112761960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179841600).

112761960 is an abundant number, since it is smaller than the sum of its proper divisors (246921240).

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

112761960 is a wasteful number, since it uses less digits than its factorization.

112761960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 112761960 is about 10618.9434502685. The cubic root of 112761960 is about 483.1190975505.

The spelling of 112761960 in words is "one hundred twelve million, seven hundred sixty-one thousand, nine hundred sixty".