1004560 has 40 divisors (see below), whose sum is σ = 2421720. Its totient is φ = 387072.

The previous prime is 1004551. The next prime is 1004561. The reversal of 1004560 is 654001.

It can be written as a sum of positive squares in 4 ways, for example, as 12544 + 992016 = 112^2 + 996^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004561) 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, 2104 + ... + 2536.

It is an arithmetic number, because the mean of its divisors is an integer number (60543).

2^1004560 is an apocalyptic number.

1004560 is a gapful number since it is divisible by the number (10) 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 1004560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210860).

1004560 is an abundant number, since it is smaller than the sum of its proper divisors (1417160).

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

1004560 is a wasteful number, since it uses less digits than its factorization.

1004560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1004560 is about 1002.2774067093. The cubic root of 1004560 is about 100.1517695435.

Adding to 1004560 its reverse (654001), we get a palindrome (1658561).

The spelling of 1004560 in words is "one million, four thousand, five hundred sixty".