63006112 has 48 divisors (see below), whose sum is σ = 134289792. Its totient is φ = 28926720.

The previous prime is 63006049. The next prime is 63006113. The reversal of 63006112 is 21160036.

It is a self number, because there is not a number n which added to its sum of digits gives 63006112.

It is not an unprimeable number, because it can be changed into a prime (63006113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129133 + ... + 129619.

It is an arithmetic number, because the mean of its divisors is an integer number (2797704).

Almost surely, 2^63006112 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 63006112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67144896).

63006112 is an abundant number, since it is smaller than the sum of its proper divisors (71283680).

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

63006112 is a wasteful number, since it uses less digits than its factorization.

63006112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 63006112 is about 7937.6389436658. The cubic root of 63006112 is about 397.9185880972.

Adding to 63006112 its reverse (21160036), we get a palindrome (84166148).

The spelling of 63006112 in words is "sixty-three million, six thousand, one hundred twelve".