63868896 has 144 divisors (see below), whose sum is σ = 223632864. Its totient is φ = 16837632.

The previous prime is 63868873. The next prime is 63868901. The reversal of 63868896 is 69886836.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24990 + ... + 27426.

It is an arithmetic number, because the mean of its divisors is an integer number (1553006).

Almost surely, 2^63868896 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 63868896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111816432).

63868896 is an abundant number, since it is smaller than the sum of its proper divisors (159763968).

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

63868896 is a wasteful number, since it uses less digits than its factorization.

63868896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473 (or 2462 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 63868896 is about 7991.8017993441. The cubic root of 63868896 is about 399.7266799496.

The spelling of 63868896 in words is "sixty-three million, eight hundred sixty-eight thousand, eight hundred ninety-six".