63686880 has 144 divisors (see below), whose sum is σ = 222191424. Its totient is φ = 16604160.

The previous prime is 63686869. The next prime is 63686911. The reversal of 63686880 is 8868636.

63686880 is a `hidden beast` number, since 636 + 8 + 6 + 8 + 8 + 0 = 666.

63686880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 67210 + ... + 68150.

It is an arithmetic number, because the mean of its divisors is an integer number (1542996).

Almost surely, 2^63686880 is an apocalyptic number.

63686880 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 63686880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111095712).

63686880 is an abundant number, since it is smaller than the sum of its proper divisors (158504544).

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

63686880 is a wasteful number, since it uses less digits than its factorization.

63686880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 998 counting only the distinct ones).

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

The square root of 63686880 is about 7980.4060047093. The cubic root of 63686880 is about 399.3465999187.

The spelling of 63686880 in words is "sixty-three million, six hundred eighty-six thousand, eight hundred eighty".