63848000 has 112 divisors (see below), whose sum is σ = 165469824. Its totient is φ = 24358400.

The previous prime is 63847997. The next prime is 63848011. The reversal of 63848000 is 84836.

63848000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183827 + ... + 184173.

Almost surely, 2^63848000 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 63848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82734912).

63848000 is an abundant number, since it is smaller than the sum of its proper divisors (101621824).

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

63848000 is a wasteful number, since it uses less digits than its factorization.

63848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 63848000 is about 7990.4943526668. The cubic root of 63848000 is about 399.6830823076.

The spelling of 63848000 in words is "sixty-three million, eight hundred forty-eight thousand".