63381200 has 60 divisors (see below), whose sum is σ = 153248748. Its totient is φ = 25190400.

The previous prime is 63381187. The next prime is 63381223. The reversal of 63381200 is 218336.

It can be written as a sum of positive squares in 6 ways, for example, as 9388096 + 53993104 = 3064^2 + 7348^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76790 + ... + 77610.

Almost surely, 2^63381200 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 63381200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76624374).

63381200 is an abundant number, since it is smaller than the sum of its proper divisors (89867548).

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

63381200 is a wasteful number, since it uses less digits than its factorization.

63381200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 63381200 is about 7961.2310605835. The cubic root of 63381200 is about 398.7066559937.

Adding to 63381200 its reverse (218336), we get a palindrome (63599536).

The spelling of 63381200 in words is "sixty-three million, three hundred eighty-one thousand, two hundred".