63683840 has 72 divisors (see below), whose sum is σ = 166447008. Its totient is φ = 23152640.

The previous prime is 63683821. The next prime is 63683863. The reversal of 63683840 is 4838636.

63683840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 63683794 and 63683803.

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 7 ways as a sum of consecutive naturals, for example, 11819 + ... + 16341.

It is an arithmetic number, because the mean of its divisors is an integer number (2311764).

Almost surely, 2^63683840 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 63683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83223504).

63683840 is an abundant number, since it is smaller than the sum of its proper divisors (102763168).

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

63683840 is a wasteful number, since it uses less digits than its factorization.

63683840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4555 (or 4541 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 63683840 is about 7980.2155359364. The cubic root of 63683840 is about 399.3402457424.

The spelling of 63683840 in words is "sixty-three million, six hundred eighty-three thousand, eight hundred forty".