63630 has 48 divisors (see below), whose sum is σ = 190944. Its totient is φ = 14400.

The previous prime is 63629. The next prime is 63647. The reversal of 63630 is 3636.

63630 is a `hidden beast` number, since 636 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 580 + ... + 680.

It is an arithmetic number, because the mean of its divisors is an integer number (3978).

2⁶³⁶³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95472).

63630 is an abundant number, since it is smaller than the sum of its proper divisors (127314).

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

63630 is a wasteful number, since it uses less digits than its factorization.

63630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 63630 is about 252.2498761149. The cubic root of 63630 is about 39.9227676417.

It can be divided in two parts, 636 and 30, that added together give a palindrome (666).

The spelling of 63630 in words is "sixty-three thousand, six hundred thirty".