1346112 has 112 divisors (see below), whose sum is σ = 4267200. Its totient is φ = 414720.

The previous prime is 1346083. The next prime is 1346117. The reversal of 1346112 is 2116431.

It is a happy number.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1346117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32812 + ... + 32852.

It is an arithmetic number, because the mean of its divisors is an integer number (38100).

2^1346112 is an apocalyptic number.

1346112 is a gapful number since it is divisible by the number (12) 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 1346112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133600).

1346112 is an abundant number, since it is smaller than the sum of its proper divisors (2921088).

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

1346112 is a wasteful number, since it uses less digits than its factorization.

1346112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 65 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1346112 is about 1160.2206686661. The cubic root of 1346112 is about 110.4147428327.

The spelling of 1346112 in words is "one million, three hundred forty-six thousand, one hundred twelve".