63783984 has 80 divisors (see below), whose sum is σ = 181595520. Its totient is φ = 19130880.

The previous prime is 63783977. The next prime is 63783997. The reversal of 63783984 is 48938736.

It is a super-2 number, since 2×63783984² = 8136793229824512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55932 + ... + 57060.

It is an arithmetic number, because the mean of its divisors is an integer number (2269944).

Almost surely, 2^63783984 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 63783984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90797760).

63783984 is an abundant number, since it is smaller than the sum of its proper divisors (117811536).

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

63783984 is a wasteful number, since it uses less digits than its factorization.

63783984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1252 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 63783984 is about 7986.4875884208. The cubic root of 63783984 is about 399.5494593901.

The spelling of 63783984 in words is "sixty-three million, seven hundred eighty-three thousand, nine hundred eighty-four".