8088960 has 128 divisors (see below), whose sum is σ = 28200960. Its totient is φ = 1955840.

The previous prime is 8088953. The next prime is 8088973. The reversal of 8088960 is 698808.

8088960 is digitally balanced in base 4, 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 (128).

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, 20929 + ... + 21311.

It is an arithmetic number, because the mean of its divisors is an integer number (220320).

Almost surely, 2^8088960 is an apocalyptic number.

8088960 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 8088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14100480).

8088960 is an abundant number, since it is smaller than the sum of its proper divisors (20112000).

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

8088960 is a wasteful number, since it uses less digits than its factorization.

8088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 8088960 is about 2844.1097025256. The cubic root of 8088960 is about 200.7386023087.

The spelling of 8088960 in words is "eight million, eighty-eight thousand, nine hundred sixty".