20880080 has 80 divisors (see below), whose sum is σ = 55402704. Its totient is φ = 7249920.

The previous prime is 20880077. The next prime is 20880103. The reversal of 20880080 is 8008802.

It can be written as a sum of positive squares in 8 ways, for example, as 341056 + 20539024 = 584^2 + 4532^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

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, 17090 + ... + 18270.

Almost surely, 2^20880080 is an apocalyptic number.

20880080 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 20880080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27701352).

20880080 is an abundant number, since it is smaller than the sum of its proper divisors (34522624).

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

20880080 is a wasteful number, since it uses less digits than its factorization.

With its successor (20880081) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1218).

20880080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 20880080 is about 4569.4726172722. The cubic root of 20880080 is about 275.3662557913.

Adding to 20880080 its reverse (8008802), we get a palindrome (28888882).

The spelling of 20880080 in words is "twenty million, eight hundred eighty thousand, eighty".