63871920 has 480 divisors, whose sum is σ = 278553600. Its totient is φ = 12773376.

The previous prime is 63871909. The next prime is 63871921. The reversal of 63871920 is 2917836.

63871920 is a `hidden beast` number, since 638 + 7 + 19 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63871921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2202466 + ... + 2202494.

It is an arithmetic number, because the mean of its divisors is an integer number (580320).

Almost surely, 2^63871920 is an apocalyptic number.

63871920 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 63871920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139276800).

63871920 is an abundant number, since it is smaller than the sum of its proper divisors (214681680).

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

63871920 is a wasteful number, since it uses less digits than its factorization.

63871920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 63871920 is about 7991.9909909859. The cubic root of 63871920 is about 399.7329884684.

The spelling of 63871920 in words is "sixty-three million, eight hundred seventy-one thousand, nine hundred twenty".