20253120 has 168 divisors, whose sum is σ = 69244464. Its totient is φ = 5013504.

The previous prime is 20253119. The next prime is 20253127. The reversal of 20253120 is 2135202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20253120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20253127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277404 + ... + 277476.

Almost surely, 2^20253120 is an apocalyptic number.

20253120 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 20253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34622232).

20253120 is an abundant number, since it is smaller than the sum of its proper divisors (48991344).

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

20253120 is a wasteful number, since it uses less digits than its factorization.

20253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 20253120 is about 4500.3466533146. The cubic root of 20253120 is about 272.5820867646.

Adding to 20253120 its reverse (2135202), we get a palindrome (22388322).

The spelling of 20253120 in words is "twenty million, two hundred fifty-three thousand, one hundred twenty".