63225600 has 216 divisors, whose sum is σ = 216704880. Its totient is φ = 16220160.

The previous prime is 63225599. The next prime is 63225607. The reversal of 63225600 is 652236.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63225607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 710356 + ... + 710444.

Almost surely, 2^63225600 is an apocalyptic number.

63225600 is a gapful number since it is divisible by the number (60) 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 63225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108352440).

63225600 is an abundant number, since it is smaller than the sum of its proper divisors (153479280).

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

63225600 is a wasteful number, since it uses less digits than its factorization.

63225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 63225600 is about 7951.4526974635. The cubic root of 63225600 is about 398.3801154573.

Adding to 63225600 its reverse (652236), we get a palindrome (63877836).

The spelling of 63225600 in words is "sixty-three million, two hundred twenty-five thousand, six hundred".