3085680 has 160 divisors (see below), whose sum is σ = 10999296. Its totient is φ = 709632.

The previous prime is 3085673. The next prime is 3085711. The reversal of 3085680 is 865803.

3085680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71739 + ... + 71781.

Almost surely, 2^3085680 is an apocalyptic number.

3085680 is a gapful number since it is divisible by the number (30) 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 3085680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499648).

3085680 is an abundant number, since it is smaller than the sum of its proper divisors (7913616).

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

3085680 is a wasteful number, since it uses less digits than its factorization.

3085680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 89 counting only the distinct ones).

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

The square root of 3085680 is about 1756.6103722795. The cubic root of 3085680 is about 145.5851109840.

The spelling of 3085680 in words is "three million, eighty-five thousand, six hundred eighty".