200287680 has 224 divisors, whose sum is σ = 681191424. Its totient is φ = 49741824.

The previous prime is 200287669. The next prime is 200287687. The reversal of 200287680 is 86782002.

200287680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×200287680³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200287687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1037664 + ... + 1037856.

Almost surely, 2^200287680 is an apocalyptic number.

200287680 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 200287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340595712).

200287680 is an abundant number, since it is smaller than the sum of its proper divisors (480903744).

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

200287680 is a wasteful number, since it uses less digits than its factorization.

200287680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 200287680 is about 14152.3029927994. The cubic root of 200287680 is about 585.0838071181.

The spelling of 200287680 in words is "two hundred million, two hundred eighty-seven thousand, six hundred eighty".