63008 has 24 divisors (see below), whose sum is σ = 136080. Its totient is φ = 28480.

The previous prime is 62989. The next prime is 63029. The reversal of 63008 is 80036.

It is a happy number.

It is an Ulam number.

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

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, 263 + ... + 441.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2⁶³⁰⁰⁸ 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 63008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68040).

63008 is an abundant number, since it is smaller than the sum of its proper divisors (73072).

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

63008 is a wasteful number, since it uses less digits than its factorization.

63008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 63008 is about 251.0139438358. The cubic root of 63008 is about 39.7922562647.

The spelling of 63008 in words is "sixty-three thousand, eight".