20514144 has 120 divisors (see below), whose sum is σ = 63526680. Its totient is φ = 5795328.

The previous prime is 20514103. The next prime is 20514149. The reversal of 20514144 is 44141502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 20514144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20514149) 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, 230452 + ... + 230540.

It is an arithmetic number, because the mean of its divisors is an integer number (529389).

Almost surely, 2^20514144 is an apocalyptic number.

20514144 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 20514144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31763340).

20514144 is an abundant number, since it is smaller than the sum of its proper divisors (43012536).

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

20514144 is an frugal number, since it uses more digits than its factorization.

20514144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 20514144 is about 4529.2542432502. The cubic root of 20514144 is about 273.7481124117.

Adding to 20514144 its reverse (44141502), we get a palindrome (64655646).

The spelling of 20514144 in words is "twenty million, five hundred fourteen thousand, one hundred forty-four".