305696080 has 40 divisors (see below), whose sum is σ = 712845000. Its totient is φ = 121916928.

The previous prime is 305696077. The next prime is 305696081. The reversal of 305696080 is 80696503.

It can be written as a sum of positive squares in 4 ways, for example, as 8340544 + 297355536 = 2888^2 + 17244^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305696081) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 22446 + ... + 33394.

It is an arithmetic number, because the mean of its divisors is an integer number (17821125).

Almost surely, 2^305696080 is an apocalyptic number.

It is an amenable number.

305696080 is an abundant number, since it is smaller than the sum of its proper divisors (407148920).

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

305696080 is a wasteful number, since it uses less digits than its factorization.

305696080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11311 (or 11305 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 305696080 is about 17484.1665514831. The cubic root of 305696080 is about 673.6432408867.

The spelling of 305696080 in words is "three hundred five million, six hundred ninety-six thousand, eighty".