200814516 has 72 divisors (see below), whose sum is σ = 587181504. Its totient is φ = 56678400.

The previous prime is 200814499. The next prime is 200814521. The reversal of 200814516 is 615418002.

200814516 is a `hidden beast` number, since 200 + 8 + 1 + 451 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 200814516.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16116 + ... + 25716.

Almost surely, 2^200814516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200814516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293590752).

200814516 is an abundant number, since it is smaller than the sum of its proper divisors (386366988).

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

200814516 is a wasteful number, since it uses less digits than its factorization.

200814516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9701 (or 9696 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 200814516 is about 14170.9038526129. The cubic root of 200814516 is about 585.5963587631.

The spelling of 200814516 in words is "two hundred million, eight hundred fourteen thousand, five hundred sixteen".