63632 has 20 divisors (see below), whose sum is σ = 127596. Its totient is φ = 30720.

The previous prime is 63629. The next prime is 63647. The reversal of 63632 is 23636.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13456 + 50176 = 116^2 + 224^2 .

It is a d-powerful number, because it can be written as 6² + 3⁷ + 6⁶ + 3⁸ + 2¹³ .

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

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 608 + ... + 704.

2⁶³⁶³² is an apocalyptic number.

It is an amenable number.

63632 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63798).

63632 is a wasteful number, since it uses less digits than its factorization.

63632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

The product of its digits is 648, while the sum is 20.

The square root of 63632 is about 252.2538404068. The cubic root of 63632 is about 39.9231859177.

The spelling of 63632 in words is "sixty-three thousand, six hundred thirty-two".