63891984 has 160 divisors (see below), whose sum is σ = 198737280. Its totient is φ = 17473536.

The previous prime is 63891931. The next prime is 63891991. The reversal of 63891984 is 48919836.

63891984 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 (48).

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 31 ways as a sum of consecutive naturals, for example, 201394 + ... + 201710.

It is an arithmetic number, because the mean of its divisors is an integer number (1242108).

Almost surely, 2^63891984 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 63891984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99368640).

63891984 is an abundant number, since it is smaller than the sum of its proper divisors (134845296).

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

63891984 is a wasteful number, since it uses less digits than its factorization.

63891984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 371 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 63891984 is about 7993.2461490936. The cubic root of 63891984 is about 399.7748399478.

The spelling of 63891984 in words is "sixty-three million, eight hundred ninety-one thousand, nine hundred eighty-four".