20589408 has 108 divisors (see below), whose sum is σ = 68157180. Its totient is φ = 5878656.

The previous prime is 20589383. The next prime is 20589409. The reversal of 20589408 is 80498502.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20589409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13383 + ... + 14841.

It is an arithmetic number, because the mean of its divisors is an integer number (631085).

Almost surely, 2^20589408 is an apocalyptic number.

20589408 is a gapful number since it is divisible by the number (28) 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 20589408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34078590).

20589408 is an abundant number, since it is smaller than the sum of its proper divisors (47567772).

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

20589408 is a wasteful number, since it uses less digits than its factorization.

20589408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 20589408 is about 4537.5552889194. Note that the first 3 decimals coincide. The cubic root of 20589408 is about 274.0824871084.

The spelling of 20589408 in words is "twenty million, five hundred eighty-nine thousand, four hundred eight".