63468512 has 48 divisors (see below), whose sum is σ = 132652800. Its totient is φ = 29808000.

The previous prime is 63468499. The next prime is 63468529. The reversal of 63468512 is 21586436.

63468512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84137 + ... + 84887.

It is an arithmetic number, because the mean of its divisors is an integer number (2763600).

Almost surely, 2^63468512 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 63468512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66326400).

63468512 is an abundant number, since it is smaller than the sum of its proper divisors (69184288).

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

63468512 is a wasteful number, since it uses less digits than its factorization.

63468512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 911 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The square root of 63468512 is about 7966.7127474260. The cubic root of 63468512 is about 398.8896540147.

The spelling of 63468512 in words is "sixty-three million, four hundred sixty-eight thousand, five hundred twelve".