63984090 has 64 divisors (see below), whose sum is σ = 164229120. Its totient is φ = 15897600.

The previous prime is 63984079. The next prime is 63984097. The reversal of 63984090 is 9048936.

63984090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (63984097) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 55015 + ... + 56165.

It is an arithmetic number, because the mean of its divisors is an integer number (2566080).

Almost surely, 2^63984090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63984090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82114560).

63984090 is an abundant number, since it is smaller than the sum of its proper divisors (100245030).

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

63984090 is a wasteful number, since it uses less digits than its factorization.

63984090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287.

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 63984090 is about 7999.0055631935. The cubic root of 63984090 is about 399.9668514197.

The spelling of 63984090 in words is "sixty-three million, nine hundred eighty-four thousand, ninety".