200939520 has 192 divisors, whose sum is σ = 666731520. Its totient is φ = 51609600.

The previous prime is 200939509. The next prime is 200939533. The reversal of 200939520 is 25939002.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 952215 + ... + 952425.

It is an arithmetic number, because the mean of its divisors is an integer number (3472560).

Almost surely, 2^200939520 is an apocalyptic number.

200939520 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 200939520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333365760).

200939520 is an abundant number, since it is smaller than the sum of its proper divisors (465792000).

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

200939520 is a wasteful number, since it uses less digits than its factorization.

200939520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 200939520 is about 14175.3137531414. The cubic root of 200939520 is about 585.7178418526.

The spelling of 200939520 in words is "two hundred million, nine hundred thirty-nine thousand, five hundred twenty".