20144256 has 128 divisors (see below), whose sum is σ = 61689600. Its totient is φ = 5760000.

The previous prime is 20144249. The next prime is 20144261. The reversal of 20144256 is 65244102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80131 + ... + 80381.

It is an arithmetic number, because the mean of its divisors is an integer number (481950).

Almost surely, 2^20144256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20144256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30844800).

20144256 is an abundant number, since it is smaller than the sum of its proper divisors (41545344).

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

20144256 is a wasteful number, since it uses less digits than its factorization.

20144256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 20144256 is about 4488.2352879500. The cubic root of 20144256 is about 272.0928172277.

Adding to 20144256 its reverse (65244102), we get a palindrome (85388358).

The spelling of 20144256 in words is "twenty million, one hundred forty-four thousand, two hundred fifty-six".