63384048 has 180 divisors, whose sum is σ = 222543048. Its totient is φ = 16692480.

The previous prime is 63384047. The next prime is 63384091. The reversal of 63384048 is 84048336.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63384047) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91383 + ... + 92073.

Almost surely, 2^63384048 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 63384048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111271524).

63384048 is an abundant number, since it is smaller than the sum of its proper divisors (159159000).

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

63384048 is a wasteful number, since it uses less digits than its factorization.

63384048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 63384048 is about 7961.4099253838. The cubic root of 63384048 is about 398.7126277937.

It can be divided in two parts, 633 and 84048, that added together give a square (84681 = 291²).

The spelling of 63384048 in words is "sixty-three million, three hundred eighty-four thousand, forty-eight".