20448960 has 224 divisors, whose sum is σ = 79004160. Its totient is φ = 4374528.

The previous prime is 20448949. The next prime is 20448991. The reversal of 20448960 is 6984402.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114151 + ... + 114329.

Almost surely, 2^20448960 is an apocalyptic number.

20448960 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 20448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39502080).

20448960 is an abundant number, since it is smaller than the sum of its proper divisors (58555200).

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

20448960 is a wasteful number, since it uses less digits than its factorization.

20448960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 20448960 is about 4522.0526312727. The cubic root of 20448960 is about 273.4578585223.

The spelling of 20448960 in words is "twenty million, four hundred forty-eight thousand, nine hundred sixty".