3205680 has 120 divisors (see below), whose sum is σ = 10771632. Its totient is φ = 787968.

The previous prime is 3205651. The next prime is 3205681. The reversal of 3205680 is 865023.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3205680.

It is not an unprimeable number, because it can be changed into a prime (3205681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86622 + ... + 86658.

Almost surely, 2^3205680 is an apocalyptic number.

3205680 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 3205680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5385816).

3205680 is an abundant number, since it is smaller than the sum of its proper divisors (7565952).

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

3205680 is a wasteful number, since it uses less digits than its factorization.

3205680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3205680 is about 1790.4412863872. The cubic root of 3205680 is about 147.4483971552.

The spelling of 3205680 in words is "three million, two hundred five thousand, six hundred eighty".