13073440 has 48 divisors (see below), whose sum is σ = 31230360. Its totient is φ = 5171200.

The previous prime is 13073393. The next prime is 13073441. The reversal of 13073440 is 4437031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13046544 + 26896 = 3612^2 + 164^2 .

It is a super-3 number, since 3×13073440³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13073441) 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, 15756 + ... + 16564.

Almost surely, 2^13073440 is an apocalyptic number.

13073440 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 13073440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15615180).

13073440 is an abundant number, since it is smaller than the sum of its proper divisors (18156920).

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

13073440 is a wasteful number, since it uses less digits than its factorization.

13073440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 13073440 is about 3615.7212281922. The cubic root of 13073440 is about 235.5754120097.

The spelling of 13073440 in words is "thirteen million, seventy-three thousand, four hundred forty".