13023440 has 40 divisors (see below), whose sum is σ = 30486888. Its totient is φ = 5173760.

The previous prime is 13023433. The next prime is 13023457. The reversal of 13023440 is 4432031.

It can be written as a sum of positive squares in 4 ways, for example, as 4426816 + 8596624 = 2104^2 + 2932^2 .

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 13370 + ... + 14310.

Almost surely, 2^13023440 is an apocalyptic number.

13023440 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 13023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15243444).

13023440 is an abundant number, since it is smaller than the sum of its proper divisors (17463448).

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

13023440 is a wasteful number, since it uses less digits than its factorization.

13023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 13023440 is about 3608.8003546885. The cubic root of 13023440 is about 235.2747051632.

Adding to 13023440 its reverse (4432031), we get a palindrome (17455471).

The spelling of 13023440 in words is "thirteen million, twenty-three thousand, four hundred forty".