200084640 has 288 divisors, whose sum is σ = 752903424. Its totient is φ = 44513280.

The previous prime is 200084639. The next prime is 200084653. The reversal of 200084640 is 46480002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 200084640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1105350 + ... + 1105530.

It is an arithmetic number, because the mean of its divisors is an integer number (2614248).

Almost surely, 2^200084640 is an apocalyptic number.

200084640 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 200084640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376451712).

200084640 is an abundant number, since it is smaller than the sum of its proper divisors (552818784).

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

200084640 is a wasteful number, since it uses less digits than its factorization.

200084640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 200084640 is about 14145.1277830920. The cubic root of 200084640 is about 584.8860322950.

The spelling of 200084640 in words is "two hundred million, eighty-four thousand, six hundred forty".