200801664 has 192 divisors, whose sum is σ = 679230240. Its totient is φ = 55738368.

The previous prime is 200801659. The next prime is 200801669. The reversal of 200801664 is 466108002.

It is an interprime number because it is at equal distance from previous prime (200801659) and next prime (200801669).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200801669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298032 + ... + 298704.

Almost surely, 2^200801664 is an apocalyptic number.

200801664 is a gapful number since it is divisible by the number (24) 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 200801664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339615120).

200801664 is an abundant number, since it is smaller than the sum of its proper divisors (478428576).

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

200801664 is a wasteful number, since it uses less digits than its factorization.

200801664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 200801664 is about 14170.4503809865. The cubic root of 200801664 is about 585.5838658997.

Adding to 200801664 its reverse (466108002), we get a palindrome (666909666).

The spelling of 200801664 in words is "two hundred million, eight hundred one thousand, six hundred sixty-four".