63281680 has 80 divisors (see below), whose sum is σ = 183452544. Its totient is φ = 19722240.

The previous prime is 63281657. The next prime is 63281711. The reversal of 63281680 is 8618236.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1024 + ... + 11296.

Almost surely, 2^63281680 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 63281680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91726272).

63281680 is an abundant number, since it is smaller than the sum of its proper divisors (120170864).

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

63281680 is a wasteful number, since it uses less digits than its factorization.

63281680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10304 (or 10298 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 63281680 is about 7954.9783154953. The cubic root of 63281680 is about 398.4978660453.

It can be divided in two parts, 6328 and 1680, that added together give a palindrome (8008).

The spelling of 63281680 in words is "sixty-three million, two hundred eighty-one thousand, six hundred eighty".