63104000 has 176 divisors, whose sum is σ = 172439280. Its totient is φ = 22937600.

The previous prime is 63103993. The next prime is 63104009. The reversal of 63104000 is 40136.

It can be written as a sum of positive squares in 8 ways, for example, as 11723776 + 51380224 = 3424^2 + 7168^2 .

It is a super-2 number, since 2×63104000² = 7964229632000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63104009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2175986 + ... + 2176014.

Almost surely, 2^63104000 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 63104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86219640).

63104000 is an abundant number, since it is smaller than the sum of its proper divisors (109335280).

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

63104000 is a wasteful number, since it uses less digits than its factorization.

63104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 53 counting only the distinct ones).

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

The square root of 63104000 is about 7943.8026158761. The cubic root of 63104000 is about 398.1245538302.

Adding to 63104000 its reverse (40136), we get a palindrome (63144136).

The spelling of 63104000 in words is "sixty-three million, one hundred four thousand".