63809312 has 48 divisors (see below), whose sum is σ = 147470400. Its totient is φ = 26604288.

The previous prime is 63809287. The next prime is 63809341. The reversal of 63809312 is 21390836.

63809312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 4439 + ... + 12137.

It is an arithmetic number, because the mean of its divisors is an integer number (3072300).

Almost surely, 2^63809312 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 63809312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73735200).

63809312 is an abundant number, since it is smaller than the sum of its proper divisors (83661088).

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

63809312 is a wasteful number, since it uses less digits than its factorization.

63809312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7753 (or 7745 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 63809312 is about 7988.0731093299. The cubic root of 63809312 is about 399.6023381269.

The spelling of 63809312 in words is "sixty-three million, eight hundred nine thousand, three hundred twelve".