63129984 has 64 divisors (see below), whose sum is σ = 173502000. Its totient is φ = 20314112.

The previous prime is 63129971. The next prime is 63129991. The reversal of 63129984 is 48992136.

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

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 8302 + ... + 13970.

Almost surely, 2^63129984 is an apocalyptic number.

63129984 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 63129984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86751000).

63129984 is an abundant number, since it is smaller than the sum of its proper divisors (110372016).

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

63129984 is a wasteful number, since it uses less digits than its factorization.

63129984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5715 (or 5703 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 63129984 is about 7945.4379363255. The cubic root of 63129984 is about 398.1791908783.

The spelling of 63129984 in words is "sixty-three million, one hundred twenty-nine thousand, nine hundred eighty-four".