20980800 has 252 divisors, whose sum is σ = 78614016. Its totient is φ = 5299200.

The previous prime is 20980789. The next prime is 20980859. The reversal of 20980800 is 808902.

It is a plaindrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 446377 + ... + 446423.

Almost surely, 2^20980800 is an apocalyptic number.

20980800 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 20980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39307008).

20980800 is an abundant number, since it is smaller than the sum of its proper divisors (57633216).

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

20980800 is a wasteful number, since it uses less digits than its factorization.

20980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 20980800 is about 4580.4803241582. The cubic root of 20980800 is about 275.8083105015.

The spelling of 20980800 in words is "twenty million, nine hundred eighty thousand, eight hundred".