306090820 has 48 divisors (see below), whose sum is σ = 747089280. Its totient is φ = 103163904.

The previous prime is 306090781. The next prime is 306090821. The reversal of 306090820 is 28090603.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (306090821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10269 + ... + 26788.

It is an arithmetic number, because the mean of its divisors is an integer number (15564360).

Almost surely, 2^306090820 is an apocalyptic number.

It is an amenable number.

306090820 is an abundant number, since it is smaller than the sum of its proper divisors (440998460).

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

306090820 is a wasteful number, since it uses less digits than its factorization.

306090820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37132 (or 37130 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 306090820 is about 17495.4514088662. The cubic root of 306090820 is about 673.9330707490.

The spelling of 306090820 in words is "three hundred six million, ninety thousand, eight hundred twenty".