63808 has 14 divisors (see below), whose sum is σ = 126746. Its totient is φ = 31872.

The previous prime is 63803. The next prime is 63809. The reversal of 63808 is 80836.

It can be written as a sum of positive squares in only one way, i.e., 61504 + 2304 = 248^2 + 48^2 .

It is a nialpdrome in base 4 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63803) by changing a digit.

63808 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 as a sum of consecutive naturals, namely, 435 + ... + 562.

2⁶³⁸⁰⁸ is an apocalyptic number.

It is an amenable number.

63808 is a deficient number, since it is larger than the sum of its proper divisors (62938).

63808 is an equidigital number, since it uses as much as digits as its factorization.

63808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 63808 is about 252.6024544616. The cubic root of 63808 is about 39.9599599332.

It can be divided in two parts, 6380 and 8, that multiplied together give a triangular number (51040 = T₃₁₉).

The spelling of 63808 in words is "sixty-three thousand, eight hundred eight".