200085920 has 48 divisors (see below), whose sum is σ = 500515848. Its totient is φ = 75325440.

The previous prime is 200085889. The next prime is 200085961. The reversal of 200085920 is 29580002.

It can be written as a sum of positive squares in 4 ways, for example, as 144672784 + 55413136 = 12028^2 + 7444^2 .

It is a super-4 number, since 4×200085920⁴ (a number of 34 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 200085920.

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 7 ways as a sum of consecutive naturals, for example, 34061 + ... + 39500.

Almost surely, 2^200085920 is an apocalyptic number.

200085920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200085920 is an abundant number, since it is smaller than the sum of its proper divisors (300429928).

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

200085920 is a wasteful number, since it uses less digits than its factorization.

200085920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73593 (or 73585 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 200085920 is about 14145.1730282807. The cubic root of 200085920 is about 584.8872795213.

The spelling of 200085920 in words is "two hundred million, eighty-five thousand, nine hundred twenty".