200966580 has 72 divisors (see below), whose sum is σ = 611592072. Its totient is φ = 53415936.

The previous prime is 200966551. The next prime is 200966609. The reversal of 200966580 is 85669002.

It is an interprime number because it is at equal distance from previous prime (200966551) and next prime (200966609).

It can be written as a sum of positive squares in 4 ways, for example, as 38862756 + 162103824 = 6234^2 + 12732^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59004 + ... + 62316.

Almost surely, 2^200966580 is an apocalyptic number.

200966580 is a gapful number since it is divisible by the number (20) 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 200966580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305796036).

200966580 is an abundant number, since it is smaller than the sum of its proper divisors (410625492).

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

200966580 is a wasteful number, since it uses less digits than its factorization.

200966580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3665 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 200966580 is about 14176.2681972372. The cubic root of 200966580 is about 585.7441330361.

The spelling of 200966580 in words is "two hundred million, nine hundred sixty-six thousand, five hundred eighty".