20288580 has 144 divisors (see below), whose sum is σ = 66185280. Its totient is φ = 4603392.

The previous prime is 20288557. The next prime is 20288621. The reversal of 20288580 is 8588202.

20288580 = T₁₅₉ + T₁₆₀ + ... + T₅₀₀.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 548322 + ... + 548358.

It is an arithmetic number, because the mean of its divisors is an integer number (459620).

Almost surely, 2^20288580 is an apocalyptic number.

20288580 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 20288580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33092640).

20288580 is an abundant number, since it is smaller than the sum of its proper divisors (45896700).

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

20288580 is a wasteful number, since it uses less digits than its factorization.

20288580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 20288580 is about 4504.2846268858. The cubic root of 20288580 is about 272.7410766750.

The spelling of 20288580 in words is "twenty million, two hundred eighty-eight thousand, five hundred eighty".