63417984 has 64 divisors (see below), whose sum is σ = 192527040. Its totient is φ = 18118656.

The previous prime is 63417883. The next prime is 63418013. The reversal of 63417984 is 48971436.

63417984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

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 7 ways as a sum of consecutive naturals, for example, 9109 + ... + 14484.

It is an arithmetic number, because the mean of its divisors is an integer number (3008235).

Almost surely, 2^63417984 is an apocalyptic number.

63417984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

63417984 is an abundant number, since it is smaller than the sum of its proper divisors (129109056).

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

63417984 is a wasteful number, since it uses less digits than its factorization.

63417984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23617 (or 23605 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 63417984 is about 7963.5409209723. The cubic root of 63417984 is about 398.7837723907.

The spelling of 63417984 in words is "sixty-three million, four hundred seventeen thousand, nine hundred eighty-four".