20585080 has 32 divisors (see below), whose sum is σ = 47013840. Its totient is φ = 8110080.

The previous prime is 20585063. The next prime is 20585083. The reversal of 20585080 is 8058502.

20585080 = T₂₈₆₇ + T₂₈₆₈ + ... + T₂₈₇₁.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20585083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1161 + ... + 6520.

Almost surely, 2^20585080 is an apocalyptic number.

20585080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20585080 is an abundant number, since it is smaller than the sum of its proper divisors (26428760).

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

20585080 is a wasteful number, since it uses less digits than its factorization.

20585080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7759 (or 7755 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 20585080 is about 4537.0783550651. The cubic root of 20585080 is about 274.0632812440.

The spelling of 20585080 in words is "twenty million, five hundred eighty-five thousand, eighty".