20585280 has 112 divisors (see below), whose sum is σ = 67080384. Its totient is φ = 5345280.

The previous prime is 20585237. The next prime is 20585291. The reversal of 20585280 is 8258502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39099 + ... + 39621.

It is an arithmetic number, because the mean of its divisors is an integer number (598932).

Almost surely, 2^20585280 is an apocalyptic number.

20585280 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 20585280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33540192).

20585280 is an abundant number, since it is smaller than the sum of its proper divisors (46495104).

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

20585280 is a wasteful number, since it uses less digits than its factorization.

20585280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 20585280 is about 4537.1003956271. The cubic root of 20585280 is about 274.0641688202.

The spelling of 20585280 in words is "twenty million, five hundred eighty-five thousand, two hundred eighty".