630112 has 48 divisors (see below), whose sum is σ = 1481760. Its totient is φ = 258048.

The previous prime is 630107. The next prime is 630127. The reversal of 630112 is 211036.

630112 = T₂₉₃ + T₂₉₄ + ... + T₃₀₆.

It is a super-2 number, since 2×630112² = 794082265088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 630092 and 630101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6448 + ... + 6544.

It is an arithmetic number, because the mean of its divisors is an integer number (30870).

2⁶³⁰¹¹² 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 630112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740880).

630112 is an abundant number, since it is smaller than the sum of its proper divisors (851648).

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

630112 is a wasteful number, since it uses less digits than its factorization.

630112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 630112 is about 793.7959435522. The cubic root of 630112 is about 85.7312685926.

Adding to 630112 its reverse (211036), we get a palindrome (841148).

The spelling of 630112 in words is "six hundred thirty thousand, one hundred twelve".