200081664 has 90 divisors (see below), whose sum is σ = 596669150. Its totient is φ = 66686976.

The previous prime is 200081663. The next prime is 200081683. The reversal of 200081664 is 466180002.

It can be written as a sum of positive squares in only one way, i.e., 132710400 + 67371264 = 11520^2 + 8208^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (200081663) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 15912 + ... + 25560.

Almost surely, 2^200081664 is an apocalyptic number.

200081664 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 200081664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298334575).

200081664 is an abundant number, since it is smaller than the sum of its proper divisors (396587486).

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

200081664 is an frugal number, since it uses more digits than its factorization.

200081664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9677 (or 9654 counting only the distinct ones).

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

The square root of 200081664 is about 14145.0225874687. The cubic root of 200081664 is about 584.8831324731.

The spelling of 200081664 in words is "two hundred million, eighty-one thousand, six hundred sixty-four".