63513984 has 64 divisors (see below), whose sum is σ = 169781040. Its totient is φ = 21037056.

The previous prime is 63513977. The next prime is 63514001. The reversal of 63513984 is 48931536.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73684 + ... + 74540.

Almost surely, 2^63513984 is an apocalyptic number.

63513984 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 63513984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84890520).

63513984 is an abundant number, since it is smaller than the sum of its proper divisors (106267056).

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

63513984 is a wasteful number, since it uses less digits than its factorization.

63513984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1055 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 63513984 is about 7969.5661111506. The cubic root of 63513984 is about 398.9848927390.

The spelling of 63513984 in words is "sixty-three million, five hundred thirteen thousand, nine hundred eighty-four".