6009680 has 40 divisors (see below), whose sum is σ = 14305632. Its totient is φ = 2346624.

The previous prime is 6009677. The next prime is 6009683. The reversal of 6009680 is 869006.

It is an interprime number because it is at equal distance from previous prime (6009677) and next prime (6009683).

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

It is a super-2 number, since 2×6009680² = 72232507404800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6009683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2567 + ... + 4313.

Almost surely, 2^6009680 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 6009680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7152816).

6009680 is an abundant number, since it is smaller than the sum of its proper divisors (8295952).

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

6009680 is a wasteful number, since it uses less digits than its factorization.

6009680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 6009680 is about 2451.4648681962. The cubic root of 6009680 is about 181.8097274857.

The spelling of 6009680 in words is "six million, nine thousand, six hundred eighty".