914112 has 84 divisors (see below), whose sum is σ = 2809240. Its totient is φ = 291456.

The previous prime is 914047. The next prime is 914117. The reversal of 914112 is 211419.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

914112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (914117) by changing a digit.

914112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39733 + ... + 39755.

2⁹¹⁴¹¹² is an apocalyptic number.

914112 is a gapful number since it is divisible by the number (92) 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 914112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404620).

914112 is an abundant number, since it is smaller than the sum of its proper divisors (1895128).

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

914112 is a wasteful number, since it uses less digits than its factorization.

914112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 28 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 914112 is about 956.0920457780. The cubic root of 914112 is about 97.0509527891.

The spelling of 914112 in words is "nine hundred fourteen thousand, one hundred twelve".