63104 has 32 divisors (see below), whose sum is σ = 137700. Its totient is φ = 28672.

The previous prime is 63103. The next prime is 63113. The reversal of 63104 is 40136.

It can be written as a sum of positive squares in 2 ways, for example, as 61504 + 1600 = 248^2 + 40^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×63104² = 7964229632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (63103) by changing a digit.

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, 2162 + ... + 2190.

2⁶³¹⁰⁴ is an apocalyptic number.

63104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68850).

63104 is an abundant number, since it is smaller than the sum of its proper divisors (74596).

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

63104 is a wasteful number, since it uses less digits than its factorization.

63104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 63104 is about 251.2050954897. The cubic root of 63104 is about 39.8124553830.

The spelling of 63104 in words is "sixty-three thousand, one hundred four".