20653120 has 56 divisors (see below), whose sum is σ = 49569624. Its totient is φ = 8196096.

The previous prime is 20653117. The next prime is 20653151. The reversal of 20653120 is 2135602.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5184 + 20647936 = 72^2 + 4544^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74422 + ... + 74698.

Almost surely, 2^20653120 is an apocalyptic number.

20653120 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 20653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24784812).

20653120 is an abundant number, since it is smaller than the sum of its proper divisors (28916504).

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

20653120 is a wasteful number, since it uses less digits than its factorization.

20653120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 20653120 is about 4544.5703867362. The cubic root of 20653120 is about 274.3649035570.

Adding to 20653120 its reverse (2135602), we get a palindrome (22788722).

The spelling of 20653120 in words is "twenty million, six hundred fifty-three thousand, one hundred twenty".