201664000 has 160 divisors (see below), whose sum is σ = 528555456. Its totient is φ = 76595200.

The previous prime is 201663983. The next prime is 201664003. The reversal of 201664000 is 466102.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201664003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1471932 + ... + 1472068.

Almost surely, 2^201664000 is an apocalyptic number.

201664000 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 201664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264277728).

201664000 is an abundant number, since it is smaller than the sum of its proper divisors (326891456).

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

201664000 is an equidigital number, since it uses as much as digits as its factorization.

201664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 201664000 is about 14200.8450452781. The cubic root of 201664000 is about 586.4209255456.

The spelling of 201664000 in words is "two hundred one million, six hundred sixty-four thousand".