200812920 has 256 divisors, whose sum is σ = 761978880. Its totient is φ = 41126400.

The previous prime is 200812901. The next prime is 200812933. The reversal of 200812920 is 29218002.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 951615 + ... + 951825.

It is an arithmetic number, because the mean of its divisors is an integer number (2976480).

Almost surely, 2^200812920 is an apocalyptic number.

200812920 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 200812920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380989440).

200812920 is an abundant number, since it is smaller than the sum of its proper divisors (561165960).

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

200812920 is a wasteful number, since it uses less digits than its factorization.

200812920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 200812920 is about 14170.8475399321. The cubic root of 200812920 is about 585.5948073907.

The spelling of 200812920 in words is "two hundred million, eight hundred twelve thousand, nine hundred twenty".