8053680 has 80 divisors (see below), whose sum is σ = 26069760. Its totient is φ = 2052864.

The previous prime is 8053651. The next prime is 8053687. The reversal of 8053680 is 863508.

It is a tau number, because it is divible by the number of its divisors (80).

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 (8053687) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4791 + ... + 6249.

It is an arithmetic number, because the mean of its divisors is an integer number (325872).

Almost surely, 2^8053680 is an apocalyptic number.

8053680 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 8053680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13034880).

8053680 is an abundant number, since it is smaller than the sum of its proper divisors (18016080).

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

8053680 is a wasteful number, since it uses less digits than its factorization.

8053680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1492 counting only the distinct ones).

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

The square root of 8053680 is about 2837.9006325099. The cubic root of 8053680 is about 200.4463365109.

The spelling of 8053680 in words is "eight million, fifty-three thousand, six hundred eighty".