63882 has 48 divisors (see below), whose sum is σ = 175680. Its totient is φ = 16848.

The previous prime is 63863. The next prime is 63901. The reversal of 63882 is 28836.

63882 = 64² + 65² + ... + 76².

It is an interprime number because it is at equal distance from previous prime (63863) and next prime (63901).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

63882 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4908 + ... + 4920.

It is an arithmetic number, because the mean of its divisors is an integer number (3660).

2⁶³⁸⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87840).

63882 is an abundant number, since it is smaller than the sum of its proper divisors (111798).

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

63882 is a wasteful number, since it uses less digits than its factorization.

63882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 25 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 63882 is about 252.7488872379. The cubic root of 63882 is about 39.9754015427.

The spelling of 63882 in words is "sixty-three thousand, eight hundred eighty-two".