63681288 has 64 divisors (see below), whose sum is σ = 175348800. Its totient is φ = 19111680.

The previous prime is 63681283. The next prime is 63681301. The reversal of 63681288 is 88218636.

63681288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (63681281) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27670 + ... + 29882.

It is an arithmetic number, because the mean of its divisors is an integer number (2739825).

Almost surely, 2^63681288 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 63681288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87674400).

63681288 is an abundant number, since it is smaller than the sum of its proper divisors (111667512).

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

63681288 is a wasteful number, since it uses less digits than its factorization.

63681288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2338 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 63681288 is about 7980.0556389038. The cubic root of 63681288 is about 399.3349114225.

The spelling of 63681288 in words is "sixty-three million, six hundred eighty-one thousand, two hundred eighty-eight".