8001680 has 40 divisors (see below), whose sum is σ = 19251000. Its totient is φ = 3089408.

The previous prime is 8001667. The next prime is 8001727. The reversal of 8001680 is 861008.

It can be written as a sum of positive squares in 4 ways, for example, as 4096 + 7997584 = 64^2 + 2828^2 .

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

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, 596 + ... + 4044.

It is an arithmetic number, because the mean of its divisors is an integer number (481275).

Almost surely, 2^8001680 is an apocalyptic number.

8001680 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 8001680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9625500).

8001680 is an abundant number, since it is smaller than the sum of its proper divisors (11249320).

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

8001680 is a wasteful number, since it uses less digits than its factorization.

8001680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 8001680 is about 2828.7240940042. The cubic root of 8001680 is about 200.0139990201.

Adding to 8001680 its reverse (861008), we get a palindrome (8862688).

The spelling of 8001680 in words is "eight million, one thousand, six hundred eighty".