63391680 has 448 divisors, whose sum is σ = 263347200. Its totient is φ = 14192640.

The previous prime is 63391663. The next prime is 63391729. The reversal of 63391680 is 8619336.

It is a happy number.

63391680 is a `hidden beast` number, since 633 + 9 + 16 + 8 + 0 = 666.

63391680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 2185906 + ... + 2185934.

Almost surely, 2^63391680 is an apocalyptic number.

63391680 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 63391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131673600).

63391680 is an abundant number, since it is smaller than the sum of its proper divisors (199955520).

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

63391680 is a wasteful number, since it uses less digits than its factorization.

63391680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 63391680 is about 7961.8892230425. The cubic root of 63391680 is about 398.7286299937.

The spelling of 63391680 in words is "sixty-three million, three hundred ninety-one thousand, six hundred eighty".