201585080 has 48 divisors (see below), whose sum is σ = 458642520. Its totient is φ = 79740032.

The previous prime is 201585077. The next prime is 201585101. The reversal of 201585080 is 80585102.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 887927 + ... + 888153.

Almost surely, 2^201585080 is an apocalyptic number.

201585080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201585080 is an abundant number, since it is smaller than the sum of its proper divisors (257057440).

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

201585080 is a wasteful number, since it uses less digits than its factorization.

201585080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 29.

The square root of 201585080 is about 14198.0660654893. The cubic root of 201585080 is about 586.3444181241.

The spelling of 201585080 in words is "two hundred one million, five hundred eighty-five thousand, eighty".