200168064 has 128 divisors (see below), whose sum is σ = 625708800. Its totient is φ = 62779392.

The previous prime is 200168051. The next prime is 200168107. The reversal of 200168064 is 460861002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57049 + ... + 60455.

It is an arithmetic number, because the mean of its divisors is an integer number (4888350).

Almost surely, 2^200168064 is an apocalyptic number.

200168064 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 200168064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312854400).

200168064 is an abundant number, since it is smaller than the sum of its proper divisors (425540736).

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

200168064 is a wasteful number, since it uses less digits than its factorization.

200168064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3447 (or 3429 counting only the distinct ones).

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

The square root of 200168064 is about 14148.0763356719. The cubic root of 200168064 is about 584.9673091528.

The spelling of 200168064 in words is "two hundred million, one hundred sixty-eight thousand, sixty-four".