8345360 has 40 divisors (see below), whose sum is σ = 19682520. Its totient is φ = 3290112.

The previous prime is 8345357. The next prime is 8345371. The reversal of 8345360 is 635438.

It can be written as a sum of positive squares in 4 ways, for example, as 73984 + 8271376 = 272^2 + 2876^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5126 + ... + 6554.

It is an arithmetic number, because the mean of its divisors is an integer number (492063).

Almost surely, 2^8345360 is an apocalyptic number.

8345360 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 8345360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9841260).

8345360 is an abundant number, since it is smaller than the sum of its proper divisors (11337160).

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

8345360 is a wasteful number, since it uses less digits than its factorization.

8345360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 8345360 is about 2888.8336746860. The cubic root of 8345360 is about 202.8375511255.

The spelling of 8345360 in words is "eight million, three hundred forty-five thousand, three hundred sixty".