200085648 has 160 divisors (see below), whose sum is σ = 653101056. Its totient is φ = 51431424.

The previous prime is 200085643. The next prime is 200085659. The reversal of 200085648 is 846580002.

It is not an unprimeable number, because it can be changed into a prime (200085643) 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, 130615 + ... + 132137.

Almost surely, 2^200085648 is an apocalyptic number.

200085648 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 200085648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326550528).

200085648 is an abundant number, since it is smaller than the sum of its proper divisors (453015408).

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

200085648 is a wasteful number, since it uses less digits than its factorization.

200085648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 200085648 is about 14145.1634136902. The cubic root of 200085648 is about 584.8870144862.

The spelling of 200085648 in words is "two hundred million, eighty-five thousand, six hundred forty-eight".