662112 has 108 divisors (see below), whose sum is σ = 2178540. Its totient is φ = 190080.

The previous prime is 662111. The next prime is 662141. The reversal of 662112 is 211266.

It is a happy number.

662112 is a `hidden beast` number, since 662 + 1 + 1 + 2 = 666.

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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 662112.

It is not an unprimeable number, because it can be changed into a prime (662111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34839 + ... + 34857.

2⁶⁶²¹¹² 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 662112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089270).

662112 is an abundant number, since it is smaller than the sum of its proper divisors (1516428).

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

662112 is a wasteful number, since it uses less digits than its factorization.

662112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 35 counting only the distinct ones).

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

The square root of 662112 is about 813.7026483919. The cubic root of 662112 is about 87.1586482946.

Adding to 662112 its reverse (211266), we get a palindrome (873378).

The spelling of 662112 in words is "six hundred sixty-two thousand, one hundred twelve".