6001680 has 80 divisors (see below), whose sum is σ = 19713024. Its totient is φ = 1505280.

The previous prime is 6001679. The next prime is 6001717. The reversal of 6001680 is 861006.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3345 + ... + 4815.

Almost surely, 2^6001680 is an apocalyptic number.

6001680 is a gapful number since it is divisible by the number (60) 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 6001680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9856512).

6001680 is an abundant number, since it is smaller than the sum of its proper divisors (13711344).

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

6001680 is a wasteful number, since it uses less digits than its factorization.

6001680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 6001680 is about 2449.8326473455. The cubic root of 6001680 is about 181.7290174927.

Adding to 6001680 its reverse (861006), we get a palindrome (6862686).

The spelling of 6001680 in words is "six million, one thousand, six hundred eighty".