63204 has 24 divisors (see below), whose sum is σ = 154560. Its totient is φ = 20064.

The previous prime is 63199. The next prime is 63211. The reversal of 63204 is 40236.

63204 = 41² + 42² + ... + 63².

It is an unprimeable number.

63204 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 7 ways as a sum of consecutive naturals, for example, 162 + ... + 390.

It is an arithmetic number, because the mean of its divisors is an integer number (6440).

2⁶³²⁰⁴ 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 63204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77280).

63204 is an abundant number, since it is smaller than the sum of its proper divisors (91356).

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

63204 is a wasteful number, since it uses less digits than its factorization.

63204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 63204 is about 251.4040572465. The cubic root of 63204 is about 39.8334743590.

The spelling of 63204 in words is "sixty-three thousand, two hundred four".