306666180 has 72 divisors (see below), whose sum is σ = 938515032. Its totient is φ = 81048576.

The previous prime is 306666163. The next prime is 306666193. The reversal of 306666180 is 81666603.

It can be written as a sum of positive squares in 4 ways, for example, as 28643904 + 278022276 = 5352^2 + 16674^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12802 + ... + 27878.

It is an arithmetic number, because the mean of its divisors is an integer number (13034931).

Almost surely, 2^306666180 is an apocalyptic number.

306666180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306666180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469257516).

306666180 is an abundant number, since it is smaller than the sum of its proper divisors (631848852).

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

306666180 is a wasteful number, since it uses less digits than its factorization.

306666180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15205 (or 15200 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 306666180 is about 17511.8868201002. The cubic root of 306666180 is about 674.3550712419.

The spelling of 306666180 in words is "three hundred six million, six hundred sixty-six thousand, one hundred eighty".