63384832 has 108 divisors (see below), whose sum is σ = 152858496. Its totient is φ = 26127360.

The previous prime is 63384809. The next prime is 63384833. The reversal of 63384832 is 23848336.

It is a junction number, because it is equal to n+sod(n) for n = 63384791 and 63384800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63384833) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 388783 + ... + 388945.

Almost surely, 2^63384832 is an apocalyptic number.

63384832 is a gapful number since it is divisible by the number (62) 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 63384832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76429248).

63384832 is an abundant number, since it is smaller than the sum of its proper divisors (89473664).

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

63384832 is a wasteful number, since it uses less digits than its factorization.

63384832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 203 counting only the distinct ones).

The product of its digits is 82944, while the sum is 37.

The square root of 63384832 is about 7961.4591627415. The cubic root of 63384832 is about 398.7142716847.

The spelling of 63384832 in words is "sixty-three million, three hundred eighty-four thousand, eight hundred thirty-two".