8507920 has 20 divisors (see below), whose sum is σ = 19781100. Its totient is φ = 3403136.

The previous prime is 8507911. The next prime is 8507921. The reversal of 8507920 is 297058.

It can be written as a sum of positive squares in 2 ways, for example, as 4064256 + 4443664 = 2016^2 + 2108^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (8507921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53095 + ... + 53254.

It is an arithmetic number, because the mean of its divisors is an integer number (989055).

Almost surely, 2^8507920 is an apocalyptic number.

8507920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8507920 is an abundant number, since it is smaller than the sum of its proper divisors (11273180).

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

8507920 is a wasteful number, since it uses less digits than its factorization.

8507920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106362 (or 106356 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 8507920 is about 2916.8338999676. The cubic root of 8507920 is about 204.1461211220.

The spelling of 8507920 in words is "eight million, five hundred seven thousand, nine hundred twenty".