112327560 has 160 divisors (see below), whose sum is σ = 388163160. Its totient is φ = 29113344.

The previous prime is 112327547. The next prime is 112327571. The reversal of 112327560 is 65723211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 85266756 + 27060804 = 9234^2 + 5202^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119412 + ... + 120348.

Almost surely, 2^112327560 is an apocalyptic number.

112327560 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 112327560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194081580).

112327560 is an abundant number, since it is smaller than the sum of its proper divisors (275835600).

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

112327560 is a wasteful number, since it uses less digits than its factorization.

112327560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 112327560 is about 10598.4697008578. The cubic root of 112327560 is about 482.4979158187.

The spelling of 112327560 in words is "one hundred twelve million, three hundred twenty-seven thousand, five hundred sixty".