305680 has 20 divisors (see below), whose sum is σ = 710892. Its totient is φ = 122240.

The previous prime is 305663. The next prime is 305717. The reversal of 305680 is 86503.

It can be written as a sum of positive squares in 2 ways, for example, as 200704 + 104976 = 448^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1831 + ... + 1990.

2³⁰⁵⁶⁸⁰ is an apocalyptic number.

It is an amenable number.

305680 is an abundant number, since it is smaller than the sum of its proper divisors (405212).

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

305680 is a wasteful number, since it uses less digits than its factorization.

305680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3834 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 305680 is about 552.8833511691. The cubic root of 305680 is about 67.3631429184.

It can be divided in two parts, 3056 and 80, that added together give a square (3136 = 56²).

The spelling of 305680 in words is "three hundred five thousand, six hundred eighty".