1012544 has 28 divisors (see below), whose sum is σ = 2165604. Its totient is φ = 466944.

The previous prime is 1012523. The next prime is 1012547. The reversal of 1012544 is 4452101.

1012544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 238144 + 774400 = 488^2 + 880^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012547) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 224 + ... + 1440.

It is an arithmetic number, because the mean of its divisors is an integer number (77343).

2^1012544 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 1012544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082802).

1012544 is an abundant number, since it is smaller than the sum of its proper divisors (1153060).

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

1012544 is a wasteful number, since it uses less digits than its factorization.

1012544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 1012544 is about 1006.2524534132. The cubic root of 1012544 is about 100.4163970616.

Adding to 1012544 its reverse (4452101), we get a palindrome (5464645).

The spelling of 1012544 in words is "one million, twelve thousand, five hundred forty-four".