63504288 has 72 divisors (see below), whose sum is σ = 188461728. Its totient is φ = 20245632.

The previous prime is 63504241. The next prime is 63504319. The reversal of 63504288 is 88240536.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1831 + ... + 11417.

It is an arithmetic number, because the mean of its divisors is an integer number (2617524).

Almost surely, 2^63504288 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 63504288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94230864).

63504288 is an abundant number, since it is smaller than the sum of its proper divisors (124957440).

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

63504288 is a wasteful number, since it uses less digits than its factorization.

63504288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9626 (or 9615 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 63504288 is about 7968.9577737619. The cubic root of 63504288 is about 398.9645887883.

The spelling of 63504288 in words is "sixty-three million, five hundred four thousand, two hundred eighty-eight".