112064 has 28 divisors (see below), whose sum is σ = 237744. Its totient is φ = 52224.

The previous prime is 112061. The next prime is 112067. The reversal of 112064 is 460211.

It is an interprime number because it is at equal distance from previous prime (112061) and next prime (112067).

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1037 + ... + 1139.

2¹¹²⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118872).

112064 is an abundant number, since it is smaller than the sum of its proper divisors (125680).

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

112064 is a wasteful number, since it uses less digits than its factorization.

112064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 112064 is about 334.7596152465. The cubic root of 112064 is about 48.2120250295.

Adding to 112064 its reverse (460211), we get a palindrome (572275).

The spelling of 112064 in words is "one hundred twelve thousand, sixty-four".