112410960 has 160 divisors (see below), whose sum is σ = 372833280. Its totient is φ = 27955200.

The previous prime is 112410911. The next prime is 112410979. The reversal of 112410960 is 69014211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 112410960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215500 + ... + 216020.

It is an arithmetic number, because the mean of its divisors is an integer number (2330208).

Almost surely, 2^112410960 is an apocalyptic number.

112410960 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 112410960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186416640).

112410960 is an abundant number, since it is smaller than the sum of its proper divisors (260422320).

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

112410960 is a wasteful number, since it uses less digits than its factorization.

112410960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 112410960 is about 10602.4035010935. The cubic root of 112410960 is about 482.6172999105.

The spelling of 112410960 in words is "one hundred twelve million, four hundred ten thousand, nine hundred sixty".