203688080 has 20 divisors (see below), whose sum is σ = 473574972. Its totient is φ = 81475200.

The previous prime is 203688077. The next prime is 203688091. The reversal of 203688080 is 80886302.

It can be written as a sum of positive squares in 2 ways, for example, as 51609856 + 152078224 = 7184^2 + 12332^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 203688080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1272971 + ... + 1273130.

Almost surely, 2^203688080 is an apocalyptic number.

203688080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203688080 is an abundant number, since it is smaller than the sum of its proper divisors (269886892).

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

203688080 is a wasteful number, since it uses less digits than its factorization.

203688080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546114 (or 2546108 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 203688080 is about 14271.9332958082. The cubic root of 203688080 is about 588.3763459865.

The spelling of 203688080 in words is "two hundred three million, six hundred eighty-eight thousand, eighty".