13123440 has 120 divisors (see below), whose sum is σ = 48108528. Its totient is φ = 3179520.

The previous prime is 13123423. The next prime is 13123441. The reversal of 13123440 is 4432131.

13123440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7092 + ... + 8748.

Almost surely, 2^13123440 is an apocalyptic number.

13123440 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 13123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24054264).

13123440 is an abundant number, since it is smaller than the sum of its proper divisors (34985088).

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

13123440 is a wasteful number, since it uses less digits than its factorization.

13123440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13123440 is about 3622.6288796950. The cubic root of 13123440 is about 235.8753531184.

Adding to 13123440 its reverse (4432131), we get a palindrome (17555571).

The spelling of 13123440 in words is "thirteen million, one hundred twenty-three thousand, four hundred forty".