20438880 has 288 divisors, whose sum is σ = 82736640. Its totient is φ = 4193280.

The previous prime is 20438863. The next prime is 20438909. The reversal of 20438880 is 8883402.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 258681 + ... + 258759.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 2^20438880 is an apocalyptic number.

20438880 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 20438880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41368320).

20438880 is an abundant number, since it is smaller than the sum of its proper divisors (62297760).

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

20438880 is a wasteful number, since it uses less digits than its factorization.

20438880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 20438880 is about 4520.9379557786. The cubic root of 20438880 is about 273.4129188570.

The spelling of 20438880 in words is "twenty million, four hundred thirty-eight thousand, eight hundred eighty".