6630 has 32 divisors (see below), whose sum is σ = 18144. Its totient is φ = 1536.

The previous prime is 6619. The next prime is 6637. The reversal of 6630 is 366.

6630 = T₁₉ + T₂₀ + ... + T₃₅.

It is a Harshad number since it is a multiple of its sum of digits (15).

6630 is an undulating number in base 13.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6637) 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, 382 + ... + 398.

It is an arithmetic number, because the mean of its divisors is an integer number (567).

2⁶⁶³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9072).

6630 is an abundant number, since it is smaller than the sum of its proper divisors (11514).

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

6630 is a wasteful number, since it uses less digits than its factorization.

6630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 6630 is about 81.4248119433. The cubic root of 6630 is about 18.7861524707.

Adding to 6630 its reverse (366), we get a palindrome (6996).

It can be divided in two parts, 6 and 630, that added together give a palindrome (636).

The spelling of 6630 in words is "six thousand, six hundred thirty".