200608080 has 320 divisors, whose sum is σ = 712454400. Its totient is φ = 46448640.

The previous prime is 200608073. The next prime is 200608081. The reversal of 200608080 is 80806002.

It is a super-2 number, since 2×200608080² = 80487203522572800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 200608080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200608081) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4892860 + ... + 4892900.

It is an arithmetic number, because the mean of its divisors is an integer number (2226420).

Almost surely, 2^200608080 is an apocalyptic number.

200608080 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 200608080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356227200).

200608080 is an abundant number, since it is smaller than the sum of its proper divisors (511846320).

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

200608080 is a wasteful number, since it uses less digits than its factorization.

200608080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 200608080 is about 14163.6181818065. The cubic root of 200608080 is about 585.3956268969.

The spelling of 200608080 in words is "two hundred million, six hundred eight thousand, eighty".