201990600 has 576 divisors, whose sum is σ = 877443840. Its totient is φ = 40550400.

The previous prime is 201990599. The next prime is 201990619. The reversal of 201990600 is 6099102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4926580 + ... + 4926620.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 2^201990600 is an apocalyptic number.

201990600 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 201990600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438721920).

201990600 is an abundant number, since it is smaller than the sum of its proper divisors (675453240).

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

201990600 is a wasteful number, since it uses less digits than its factorization.

201990600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 201990600 is about 14212.3397088586. The cubic root of 201990600 is about 586.7373293558.

The spelling of 201990600 in words is "two hundred one million, nine hundred ninety thousand, six hundred".