63731920 has 80 divisors (see below), whose sum is σ = 171774720. Its totient is φ = 21537792.

The previous prime is 63731911. The next prime is 63731923. The reversal of 63731920 is 2913736.

63731920 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 (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63731923) 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 15 ways as a sum of consecutive naturals, for example, 40101 + ... + 41659.

It is an arithmetic number, because the mean of its divisors is an integer number (2147184).

Almost surely, 2^63731920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63731920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85887360).

63731920 is an abundant number, since it is smaller than the sum of its proper divisors (108042800).

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

63731920 is a wasteful number, since it uses less digits than its factorization.

63731920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 63731920 is about 7983.2274175298. The cubic root of 63731920 is about 399.4407183746.

The spelling of 63731920 in words is "sixty-three million, seven hundred thirty-one thousand, nine hundred twenty".