200285568 has 256 divisors, whose sum is σ = 716774400. Its totient is φ = 53747712.

The previous prime is 200285567. The next prime is 200285611. The reversal of 200285568 is 865582002.

It is a super-2 number, since 2×200285568² = 80228617498165248, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200285563) 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, 411021 + ... + 411507.

It is an arithmetic number, because the mean of its divisors is an integer number (2799900).

Almost surely, 2^200285568 is an apocalyptic number.

200285568 is a gapful number since it is divisible by the number (28) 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 200285568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358387200).

200285568 is an abundant number, since it is smaller than the sum of its proper divisors (516488832).

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

200285568 is a wasteful number, since it uses less digits than its factorization.

200285568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 200285568 is about 14152.2283757718. The cubic root of 200285568 is about 585.0817505740.

The spelling of 200285568 in words is "two hundred million, two hundred eighty-five thousand, five hundred sixty-eight".