7686160 has 40 divisors (see below), whose sum is σ = 18492120. Its totient is φ = 2967552.

The previous prime is 7686157. The next prime is 7686179. The reversal of 7686160 is 616867.

It can be written as a sum of positive squares in 4 ways, for example, as 2359296 + 5326864 = 1536^2 + 2308^2 .

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

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 664 + ... + 3976.

It is an arithmetic number, because the mean of its divisors is an integer number (462303).

Almost surely, 2^7686160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7686160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9246060).

7686160 is an abundant number, since it is smaller than the sum of its proper divisors (10805960).

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

7686160 is a wasteful number, since it uses less digits than its factorization.

7686160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3355 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 7686160 is about 2772.3924686090. The cubic root of 7686160 is about 197.3497013856.

The spelling of 7686160 in words is "seven million, six hundred eighty-six thousand, one hundred sixty".