201663000 has 512 divisors, whose sum is σ = 880588800. Its totient is φ = 41472000.

The previous prime is 201662983. The next prime is 201663023. The reversal of 201663000 is 366102.

It is a happy number.

201663000 is a `hidden beast` number, since 2 + 0 + 1 + 663 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2078952 + ... + 2079048.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2^201663000 is an apocalyptic number.

201663000 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 201663000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440294400).

201663000 is an abundant number, since it is smaller than the sum of its proper divisors (678925800).

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

201663000 is a wasteful number, since it uses less digits than its factorization.

201663000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 201663000 is about 14200.8098360622. The cubic root of 201663000 is about 586.4199562404.

The spelling of 201663000 in words is "two hundred one million, six hundred sixty-three thousand".