63954048 has 64 divisors (see below), whose sum is σ = 175766400. Its totient is φ = 20579328.

The previous prime is 63954043. The next prime is 63954049. The reversal of 63954048 is 84045936.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 63953997 and 63954015.

It is not an unprimeable number, because it can be changed into a prime (63954041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8265 + ... + 14007.

It is an arithmetic number, because the mean of its divisors is an integer number (2746350).

Almost surely, 2^63954048 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 63954048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87883200).

63954048 is an abundant number, since it is smaller than the sum of its proper divisors (111812352).

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

63954048 is a wasteful number, since it uses less digits than its factorization.

63954048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5789 (or 5777 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 63954048 is about 7997.1274842908. The cubic root of 63954048 is about 399.9042437453.

The spelling of 63954048 in words is "sixty-three million, nine hundred fifty-four thousand, forty-eight".