200587968 has 336 divisors, whose sum is σ = 722741760. Its totient is φ = 54286848.

The previous prime is 200587943. The next prime is 200587973. The reversal of 200587968 is 869785002.

200587968 is a `hidden beast` number, since 2 + 0 + 0 + 587 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1947405 + ... + 1947507.

Almost surely, 2^200587968 is an apocalyptic number.

200587968 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 200587968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361370880).

200587968 is an abundant number, since it is smaller than the sum of its proper divisors (522153792).

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

200587968 is a wasteful number, since it uses less digits than its factorization.

200587968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 200587968 is about 14162.9081759362. The cubic root of 200587968 is about 585.3760632610.

The spelling of 200587968 in words is "two hundred million, five hundred eighty-seven thousand, nine hundred sixty-eight".