201066000 has 320 divisors, whose sum is σ = 713097216. Its totient is φ = 48576000.

The previous prime is 201065993. The next prime is 201066043. The reversal of 201066000 is 660102.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 4277977 + ... + 4278023.

Almost surely, 2^201066000 is an apocalyptic number.

201066000 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 201066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356548608).

201066000 is an abundant number, since it is smaller than the sum of its proper divisors (512031216).

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

201066000 is a wasteful number, since it uses less digits than its factorization.

201066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 201066000 is about 14179.7743282466. The cubic root of 201066000 is about 585.8407081006.

It can be divided in two parts, 20106 and 6000, that added together give a triangular number (26106 = T₂₂₈).

The spelling of 201066000 in words is "two hundred one million, sixty-six thousand".