201993660 has 216 divisors, whose sum is σ = 712058256. Its totient is φ = 45957120.

The previous prime is 201993641. The next prime is 201993679. The reversal of 201993660 is 66399102.

201993660 is a `hidden beast` number, since 201 + 99 + 366 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (201993641) and next prime (201993679).

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

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 71 ways as a sum of consecutive naturals, for example, 572044 + ... + 572396.

It is an arithmetic number, because the mean of its divisors is an integer number (3296566).

Almost surely, 2^201993660 is an apocalyptic number.

201993660 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 201993660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356029128).

201993660 is an abundant number, since it is smaller than the sum of its proper divisors (510064596).

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

201993660 is a wasteful number, since it uses less digits than its factorization.

201993660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 201993660 is about 14212.4473613801. The cubic root of 201993660 is about 586.7402922118.

The spelling of 201993660 in words is "two hundred one million, nine hundred ninety-three thousand, six hundred sixty".