365661220 has 48 divisors (see below), whose sum is σ = 780999408. Its totient is φ = 143790080.

The previous prime is 365661193. The next prime is 365661221. The reversal of 365661220 is 22166563.

It can be written as a sum of positive squares in 8 ways, for example, as 4129024 + 361532196 = 2032^2 + 19014^2 .

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (365661221) 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, 309030 + ... + 310210.

It is an arithmetic number, because the mean of its divisors is an integer number (16270821).

Almost surely, 2^365661220 is an apocalyptic number.

It is an amenable number.

365661220 is an abundant number, since it is smaller than the sum of its proper divisors (415338188).

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

365661220 is a wasteful number, since it uses less digits than its factorization.

365661220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 365661220 is about 19122.2702627068. The cubic root of 365661220 is about 715.0882379243.

The spelling of 365661220 in words is "three hundred sixty-five million, six hundred sixty-one thousand, two hundred twenty".