63984000 has 256 divisors, whose sum is σ = 224040960. Its totient is φ = 16128000.

The previous prime is 63983951. The next prime is 63984007. The reversal of 63984000 is 48936.

It is a Cunningham number, because it is equal to 7999²-1.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63984007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1487979 + ... + 1488021.

It is an arithmetic number, because the mean of its divisors is an integer number (875160).

Almost surely, 2^63984000 is an apocalyptic number.

63984000 is a gapful number since it is divisible by the number (60) 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 63984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112020480).

63984000 is an abundant number, since it is smaller than the sum of its proper divisors (160056960).

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

63984000 is a wasteful number, since it uses less digits than its factorization.

63984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 63984000 is about 7998.9999374922. Note that the first 4 decimals coincide. The cubic root of 63984000 is about 399.9666638885.

The spelling of 63984000 in words is "sixty-three million, nine hundred eighty-four thousand".