112608 has 72 divisors (see below), whose sum is σ = 353808. Its totient is φ = 33792.

The previous prime is 112603. The next prime is 112621. The reversal of 112608 is 806211.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4885 + ... + 4907.

It is an arithmetic number, because the mean of its divisors is an integer number (4914).

2¹¹²⁶⁰⁸ is an apocalyptic number.

112608 is a gapful number since it is divisible by the number (18) 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 112608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904).

112608 is an abundant number, since it is smaller than the sum of its proper divisors (241200).

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

112608 is a wasteful number, since it uses less digits than its factorization.

112608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 112608 is about 335.5711548986. The cubic root of 112608 is about 48.2899121198.

Adding to 112608 its reverse (806211), we get a palindrome (918819).

The spelling of 112608 in words is "one hundred twelve thousand, six hundred eight".