632112 has 40 divisors (see below), whose sum is σ = 1760304. Its totient is φ = 194304.

The previous prime is 632101. The next prime is 632117. The reversal of 632112 is 211236.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 632091 and 632100.

It is not an unprimeable number, because it can be changed into a prime (632117) by changing a digit.

632112 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 7 ways as a sum of consecutive naturals, for example, 118 + ... + 1130.

2⁶³²¹¹² 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 632112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880152).

632112 is an abundant number, since it is smaller than the sum of its proper divisors (1128192).

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

632112 is a wasteful number, since it uses less digits than its factorization.

632112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1031 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 632112 is about 795.0547150983. The cubic root of 632112 is about 85.8218775884.

Adding to 632112 its reverse (211236), we get a palindrome (843348).

The spelling of 632112 in words is "six hundred thirty-two thousand, one hundred twelve".