63584532 has 72 divisors (see below), whose sum is σ = 176921472. Its totient is φ = 19253520.

The previous prime is 63584531. The next prime is 63584551. The reversal of 63584532 is 23548536.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63584531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47253 + ... + 48579.

Almost surely, 2^63584532 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 63584532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88460736).

63584532 is an abundant number, since it is smaller than the sum of its proper divisors (113336940).

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

63584532 is a wasteful number, since it uses less digits than its factorization.

63584532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1343 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 63584532 is about 7973.9909706495. The cubic root of 63584532 is about 399.1325619043.

The spelling of 63584532 in words is "sixty-three million, five hundred eighty-four thousand, five hundred thirty-two".