2085680 has 60 divisors (see below), whose sum is σ = 5184192. Its totient is φ = 779520.

The previous prime is 2085673. The next prime is 2085691. The reversal of 2085680 is 865802.

It is a happy number.

It is a super-2 number, since 2×2085680² = 8700122124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67265 + ... + 67295.

2^2085680 is an apocalyptic number.

2085680 is a gapful number since it is divisible by the number (20) 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 2085680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592096).

2085680 is an abundant number, since it is smaller than the sum of its proper divisors (3098512).

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

2085680 is a wasteful number, since it uses less digits than its factorization.

2085680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 2085680 is about 1444.1883533667. The cubic root of 2085680 is about 127.7661746798.

The spelling of 2085680 in words is "two million, eighty-five thousand, six hundred eighty".