8288160 has 96 divisors (see below), whose sum is σ = 26998272. Its totient is φ = 2135040.

The previous prime is 8288141. The next prime is 8288167. The reversal of 8288160 is 618828.

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8288167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14602 + ... + 15158.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 2^8288160 is an apocalyptic number.

8288160 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 8288160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13499136).

8288160 is an abundant number, since it is smaller than the sum of its proper divisors (18710112).

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

8288160 is a wasteful number, since it uses less digits than its factorization.

8288160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 8288160 is about 2878.9164628381. The cubic root of 8288160 is about 202.3730647862.

It can be divided in two parts, 8288 and 160, that added together give a palindrome (8448).

The spelling of 8288160 in words is "eight million, two hundred eighty-eight thousand, one hundred sixty".