1020144 has 40 divisors (see below), whose sum is σ = 2691792. Its totient is φ = 332800.

The previous prime is 1020143. The next prime is 1020157. The reversal of 1020144 is 4410201.

1020144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2344 + ... + 2744.

2^1020144 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 1020144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345896).

1020144 is an abundant number, since it is smaller than the sum of its proper divisors (1671648).

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

1020144 is a wasteful number, since it uses less digits than its factorization.

1020144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1020144 is about 1010.0217819433. The cubic root of 1020144 is about 100.6670077812.

Adding to 1020144 its reverse (4410201), we get a palindrome (5430345).

It can be divided in two parts, 10201 and 44, that multiplied together give a palindrome (448844).

The spelling of 1020144 in words is "one million, twenty thousand, one hundred forty-four".