20080224 has 120 divisors (see below), whose sum is σ = 60496128. Its totient is φ = 6531840.

The previous prime is 20080223. The next prime is 20080231. The reversal of 20080224 is 42208002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20080197 and 20080206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20080223) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 158049 + ... + 158175.

Almost surely, 2^20080224 is an apocalyptic number.

20080224 is a gapful number since it is divisible by the number (24) 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 20080224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30248064).

20080224 is an abundant number, since it is smaller than the sum of its proper divisors (40415904).

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

20080224 is a wasteful number, since it uses less digits than its factorization.

20080224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 20080224 is about 4481.0962944351. The cubic root of 20080224 is about 271.8042132002.

Adding to 20080224 its reverse (42208002), we get a palindrome (62288226).

The spelling of 20080224 in words is "twenty million, eighty thousand, two hundred twenty-four".