306536960 has 80 divisors (see below), whose sum is σ = 760498200. Its totient is φ = 118358016.

The previous prime is 306536957. The next prime is 306536969. The reversal of 306536960 is 69635603.

It can be written as a sum of positive squares in 4 ways, for example, as 254466304 + 52070656 = 15952^2 + 7216^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (306536969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72176 + ... + 76304.

Almost surely, 2^306536960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380249100).

306536960 is an abundant number, since it is smaller than the sum of its proper divisors (453961240).

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

306536960 is an equidigital number, since it uses as much as digits as its factorization.

306536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4181 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 38.

The square root of 306536960 is about 17508.1969374348. The cubic root of 306536960 is about 674.2603402170.

The spelling of 306536960 in words is "three hundred six million, five hundred thirty-six thousand, nine hundred sixty".