63387648 has 144 divisors (see below), whose sum is σ = 193775400. Its totient is φ = 19906560.

The previous prime is 63387647. The next prime is 63387661. The reversal of 63387648 is 84678336.

63387648 is a `hidden beast` number, since 633 + 8 + 7 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63387647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350118 + ... + 350298.

Almost surely, 2^63387648 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 63387648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96887700).

63387648 is an abundant number, since it is smaller than the sum of its proper divisors (130387752).

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

63387648 is a wasteful number, since it uses less digits than its factorization.

63387648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 205 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 63387648 is about 7961.6360127803. The cubic root of 63387648 is about 398.7201761613.

The spelling of 63387648 in words is "sixty-three million, three hundred eighty-seven thousand, six hundred forty-eight".