20262880 has 96 divisors (see below), whose sum is σ = 54159840. Its totient is φ = 7096320.

The previous prime is 20262863. The next prime is 20262883. The reversal of 20262880 is 8826202.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20262883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50842 + ... + 51238.

It is an arithmetic number, because the mean of its divisors is an integer number (564165).

Almost surely, 2^20262880 is an apocalyptic number.

20262880 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 20262880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27079920).

20262880 is an abundant number, since it is smaller than the sum of its proper divisors (33896960).

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

20262880 is a wasteful number, since it uses less digits than its factorization.

20262880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 20262880 is about 4501.4308836191. The cubic root of 20262880 is about 272.6258655985.

The spelling of 20262880 in words is "twenty million, two hundred sixty-two thousand, eight hundred eighty".