63820 has 12 divisors (see below), whose sum is σ = 134064. Its totient is φ = 25520.

The previous prime is 63809. The next prime is 63823. The reversal of 63820 is 2836.

It is not an unprimeable number, because it can be changed into a prime (63823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1576 + ... + 1615.

It is an arithmetic number, because the mean of its divisors is an integer number (11172).

2⁶³⁸²⁰ is an apocalyptic number.

It is an amenable number.

63820 is an abundant number, since it is smaller than the sum of its proper divisors (70244).

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 (67032).

63820 is a wasteful number, since it uses less digits than its factorization.

63820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 63820 is about 252.6262060832. The cubic root of 63820 is about 39.9624647887.

The spelling of 63820 in words is "sixty-three thousand, eight hundred twenty".