8083560 has 128 divisors (see below), whose sum is σ = 26127360. Its totient is φ = 1996800.

The previous prime is 8083541. The next prime is 8083561. The reversal of 8083560 is 653808.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8083561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152494 + ... + 152546.

It is an arithmetic number, because the mean of its divisors is an integer number (204120).

Almost surely, 2^8083560 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 8083560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063680).

8083560 is an abundant number, since it is smaller than the sum of its proper divisors (18043800).

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

8083560 is a wasteful number, since it uses less digits than its factorization.

8083560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 8083560 is about 2843.1602135652. The cubic root of 8083560 is about 200.6939229038.

The spelling of 8083560 in words is "eight million, eighty-three thousand, five hundred sixty".