8563920 has 80 divisors (see below), whose sum is σ = 28123200. Its totient is φ = 2148352.

The previous prime is 8563901. The next prime is 8563939. The reversal of 8563920 is 293658.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8563901) and next prime (8563939).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3031 + ... + 5129.

It is an arithmetic number, because the mean of its divisors is an integer number (351540).

Almost surely, 2^8563920 is an apocalyptic number.

8563920 is a gapful number since it is divisible by the number (80) 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 8563920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061600).

8563920 is an abundant number, since it is smaller than the sum of its proper divisors (19559280).

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

8563920 is a wasteful number, since it uses less digits than its factorization.

8563920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 8563920 is about 2926.4176051958. The cubic root of 8563920 is about 204.5930455368.

The spelling of 8563920 in words is "eight million, five hundred sixty-three thousand, nine hundred twenty".