200506080 has 48 divisors (see below), whose sum is σ = 631595664. Its totient is φ = 53468160.

The previous prime is 200506063. The next prime is 200506093. The reversal of 200506080 is 80605002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208381 + ... + 209340.

It is an arithmetic number, because the mean of its divisors is an integer number (13158243).

Almost surely, 2^200506080 is an apocalyptic number.

200506080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200506080 is an abundant number, since it is smaller than the sum of its proper divisors (431089584).

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

200506080 is a wasteful number, since it uses less digits than its factorization.

200506080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417739 (or 417731 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 200506080 is about 14160.0169491424. The cubic root of 200506080 is about 585.2963944751.

Subtracting from 200506080 its product of nonzero digits (480), we obtain a square (200505600 = 14160²).

The spelling of 200506080 in words is "two hundred million, five hundred six thousand, eighty".