10026144 has 72 divisors (see below), whose sum is σ = 29457792. Its totient is φ = 3231360.

The previous prime is 10026139. The next prime is 10026161. The reversal of 10026144 is 44162001.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8367 + ... + 9489.

It is an arithmetic number, because the mean of its divisors is an integer number (409136).

Almost surely, 2^10026144 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 10026144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14728896).

10026144 is an abundant number, since it is smaller than the sum of its proper divisors (19431648).

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

10026144 is a wasteful number, since it uses less digits than its factorization.

10026144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10026144 is about 3166.4086912463. The cubic root of 10026144 is about 215.6310574228.

Adding to 10026144 its reverse (44162001), we get a palindrome (54188145).

It can be divided in two parts, 100 and 26144, that added together give a square (26244 = 162²).

The spelling of 10026144 in words is "ten million, twenty-six thousand, one hundred forty-four".