8475920 has 40 divisors (see below), whose sum is σ = 19920600. Its totient is φ = 3353600.

The previous prime is 8475899. The next prime is 8475931. The reversal of 8475920 is 295748.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4804864 + 3671056 = 2192^2 + 1916^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7556 + ... + 8604.

It is an arithmetic number, because the mean of its divisors is an integer number (498015).

Almost surely, 2^8475920 is an apocalyptic number.

8475920 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 8475920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9960300).

8475920 is an abundant number, since it is smaller than the sum of its proper divisors (11444680).

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

8475920 is a wasteful number, since it uses less digits than its factorization.

8475920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 8475920 is about 2911.3433325529. The cubic root of 8475920 is about 203.8898546757.

The spelling of 8475920 in words is "eight million, four hundred seventy-five thousand, nine hundred twenty".