8503680 has 128 divisors (see below), whose sum is σ = 28005120. Its totient is φ = 2193408.

The previous prime is 8503657. The next prime is 8503681. The reversal of 8503680 is 863058.

It is a tau number, because it is divible by the number of its divisors (128).

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 (8503681) 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, 82509 + ... + 82611.

It is an arithmetic number, because the mean of its divisors is an integer number (218790).

Almost surely, 2^8503680 is an apocalyptic number.

8503680 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 8503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14002560).

8503680 is an abundant number, since it is smaller than the sum of its proper divisors (19501440).

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

8503680 is a wasteful number, since it uses less digits than its factorization.

8503680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

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

The square root of 8503680 is about 2916.1069939219. The cubic root of 8503680 is about 204.1122027893.

The spelling of 8503680 in words is "eight million, five hundred three thousand, six hundred eighty".