306161920 has 72 divisors (see below), whose sum is σ = 747355896. Its totient is φ = 120127488.

The previous prime is 306161909. The next prime is 306161929. The reversal of 306161920 is 29161603.

It can be written as a sum of positive squares in 4 ways, for example, as 891136 + 305270784 = 944^2 + 17472^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (306161929) 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, 65584 + ... + 70096.

It is an arithmetic number, because the mean of its divisors is an integer number (10379943).

Almost surely, 2^306161920 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 306161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373677948).

306161920 is an abundant number, since it is smaller than the sum of its proper divisors (441193976).

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

306161920 is an equidigital number, since it uses as much as digits as its factorization.

306161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4587 (or 4573 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 306161920 is about 17497.4832475988. The cubic root of 306161920 is about 673.9852479990.

The spelling of 306161920 in words is "three hundred six million, one hundred sixty-one thousand, nine hundred twenty".