63263200 has 288 divisors, whose sum is σ = 209986560. Its totient is φ = 17971200.

The previous prime is 63263131. The next prime is 63263203. The reversal of 63263200 is 236236.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63263203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 800761 + ... + 800839.

It is an arithmetic number, because the mean of its divisors is an integer number (729120).

Almost surely, 2^63263200 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 63263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280).

63263200 is an abundant number, since it is smaller than the sum of its proper divisors (146723360).

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

63263200 is a wasteful number, since it uses less digits than its factorization.

63263200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 63263200 is about 7953.8166938898. The cubic root of 63263200 is about 398.4590714708.

Adding to 63263200 its reverse (236236), we get a palindrome (63499436).

It can be divided in two parts, 632 and 63200, that multiplied together give a square (39942400 = 6320²).

The spelling of 63263200 in words is "sixty-three million, two hundred sixty-three thousand, two hundred".