8095680 has 112 divisors (see below), whose sum is σ = 28590240. Its totient is φ = 2156544.

The previous prime is 8095679. The next prime is 8095687. The reversal of 8095680 is 865908.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8095687) 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, 8172 + ... + 9108.

It is an arithmetic number, because the mean of its divisors is an integer number (255270).

Almost surely, 2^8095680 is an apocalyptic number.

8095680 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 8095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14295120).

8095680 is an abundant number, since it is smaller than the sum of its proper divisors (20494560).

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

8095680 is a wasteful number, since it uses less digits than its factorization.

8095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 8095680 is about 2845.2908462932. The cubic root of 8095680 is about 200.7941755849.

The spelling of 8095680 in words is "eight million, ninety-five thousand, six hundred eighty".