63225200 has 60 divisors (see below), whose sum is σ = 152729808. Its totient is φ = 25152000.

The previous prime is 63225187. The next prime is 63225203. The reversal of 63225200 is 252236.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63225203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104900 + ... + 105500.

Almost surely, 2^63225200 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 63225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76364904).

63225200 is an abundant number, since it is smaller than the sum of its proper divisors (89504608).

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

63225200 is a wasteful number, since it uses less digits than its factorization.

63225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 63225200 is about 7951.4275447872. The cubic root of 63225200 is about 398.3792753314.

Adding to 63225200 its reverse (252236), we get a palindrome (63477436).

The spelling of 63225200 in words is "sixty-three million, two hundred twenty-five thousand, two hundred".