63603648 has 84 divisors (see below), whose sum is σ = 190274448. Its totient is φ = 20275200.

The previous prime is 63603607. The next prime is 63603679. The reversal of 63603648 is 84630636.

63603648 is a `hidden beast` number, since 6 + 3 + 6 + 0 + 3 + 648 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 10848 + ... + 15648.

It is an arithmetic number, because the mean of its divisors is an integer number (2265172).

Almost surely, 2^63603648 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 63603648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95137224).

63603648 is an abundant number, since it is smaller than the sum of its proper divisors (126670800).

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

63603648 is a wasteful number, since it uses less digits than its factorization.

63603648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4842 (or 4829 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 63603648 is about 7975.1895275285. The cubic root of 63603648 is about 399.1725561888.

The spelling of 63603648 in words is "sixty-three million, six hundred three thousand, six hundred forty-eight".