63866880 has 480 divisors, whose sum is σ = 285405120. Its totient is φ = 13271040.

The previous prime is 63866849. The next prime is 63866893. The reversal of 63866880 is 8866836.

63866880 is a `hidden beast` number, since 638 + 6 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5806075 + ... + 5806085.

It is an arithmetic number, because the mean of its divisors is an integer number (594594).

Almost surely, 2^63866880 is an apocalyptic number.

63866880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142702560).

63866880 is an abundant number, since it is smaller than the sum of its proper divisors (221538240).

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

63866880 is a wasteful number, since it uses less digits than its factorization.

63866880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 63866880 is about 7991.6756690947. The cubic root of 63866880 is about 399.7224741597.

It can be divided in two parts, 63866 and 880, that added together give a palindrome (64746).

The spelling of 63866880 in words is "sixty-three million, eight hundred sixty-six thousand, eight hundred eighty".