63225768 has 64 divisors (see below), whose sum is σ = 169185600. Its totient is φ = 19630080.

The previous prime is 63225761. The next prime is 63225769. The reversal of 63225768 is 86752236.

It is not an unprimeable number, because it can be changed into a prime (63225761) 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, 26680 + ... + 28952.

It is an arithmetic number, because the mean of its divisors is an integer number (2643525).

Almost surely, 2^63225768 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 63225768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84592800).

63225768 is an abundant number, since it is smaller than the sum of its proper divisors (105959832).

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

63225768 is a wasteful number, since it uses less digits than its factorization.

63225768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2358 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 63225768 is about 7951.4632615639. The cubic root of 63225768 is about 398.3804683091.

It can be divided in two parts, 6322 and 5768, that added together give a triangular number (12090 = T₁₅₅).

The spelling of 63225768 in words is "sixty-three million, two hundred twenty-five thousand, seven hundred sixty-eight".