201966000 has 160 divisors (see below), whose sum is σ = 667832256. Its totient is φ = 52480000.

The previous prime is 201965999. The next prime is 201966019. The reversal of 201966000 is 669102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245590 + ... + 246410.

Almost surely, 2^201966000 is an apocalyptic number.

201966000 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 201966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333916128).

201966000 is an abundant number, since it is smaller than the sum of its proper divisors (465866256).

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

201966000 is a wasteful number, since it uses less digits than its factorization.

201966000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 201966000 is about 14211.4742373900. The cubic root of 201966000 is about 586.7135092304.

The spelling of 201966000 in words is "two hundred one million, nine hundred sixty-six thousand".