63984420 has 72 divisors (see below), whose sum is σ = 194810616. Its totient is φ = 16998912.

The previous prime is 63984407. The next prime is 63984421. The reversal of 63984420 is 2448936.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5645376 + 58339044 = 2376^2 + 7638^2 .

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

It is not an unprimeable number, because it can be changed into a prime (63984421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66664 + ... + 67616.

It is an arithmetic number, because the mean of its divisors is an integer number (2705703).

Almost surely, 2^63984420 is an apocalyptic number.

63984420 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 63984420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97405308).

63984420 is an abundant number, since it is smaller than the sum of its proper divisors (130826196).

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

63984420 is a wasteful number, since it uses less digits than its factorization.

63984420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 63984420 is about 7999.0261907310. The cubic root of 63984420 is about 399.9675390325.

The spelling of 63984420 in words is "sixty-three million, nine hundred eighty-four thousand, four hundred twenty".