1305040 has 40 divisors (see below), whose sum is σ = 3312288. Its totient is φ = 474240.

The previous prime is 1305013. The next prime is 1305047. The reversal of 1305040 is 405031.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1305040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 139 + ... + 1621.

2^1305040 is an apocalyptic number.

1305040 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 1305040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656144).

1305040 is an abundant number, since it is smaller than the sum of its proper divisors (2007248).

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

1305040 is a wasteful number, since it uses less digits than its factorization.

1305040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 1305040 is about 1142.3834732698. The cubic root of 1305040 is about 109.2801479704.

Subtracting from 1305040 its reverse (405031), we obtain a palindrome (900009).

The spelling of 1305040 in words is "one million, three hundred five thousand, forty".