63584064 has 84 divisors (see below), whose sum is σ = 185440320. Its totient is φ = 20824320.

The previous prime is 63584041. The next prime is 63584099. The reversal of 63584064 is 46048536.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33049 + ... + 34919.

Almost surely, 2^63584064 is an apocalyptic number.

63584064 is a gapful number since it is divisible by the number (64) 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 63584064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92720160).

63584064 is an abundant number, since it is smaller than the sum of its proper divisors (121856256).

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

63584064 is a wasteful number, since it uses less digits than its factorization.

63584064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 63584064 is about 7973.9616251898. The cubic root of 63584064 is about 399.1315826594.

The spelling of 63584064 in words is "sixty-three million, five hundred eighty-four thousand, sixty-four".