200829636 has 216 divisors, whose sum is σ = 645719256. Its totient is φ = 52254720.

The previous prime is 200829631. The next prime is 200829641. The reversal of 200829636 is 636928002.

It is an interprime number because it is at equal distance from previous prime (200829631) and next prime (200829641).

It can be written as a sum of positive squares in 4 ways, for example, as 34574400 + 166255236 = 5880^2 + 12894^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 200829636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200829631) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1109466 + ... + 1109646.

It is an arithmetic number, because the mean of its divisors is an integer number (2989441).

Almost surely, 2^200829636 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 200829636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322859628).

200829636 is an abundant number, since it is smaller than the sum of its proper divisors (444889620).

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

200829636 is a wasteful number, since it uses less digits than its factorization.

200829636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 200829636 is about 14171.4373300664. The cubic root of 200829636 is about 585.6110555671.

The spelling of 200829636 in words is "two hundred million, eight hundred twenty-nine thousand, six hundred thirty-six".