13306440 has 192 divisors, whose sum is σ = 48591360. Its totient is φ = 2903040.

The previous prime is 13306439. The next prime is 13306453. The reversal of 13306440 is 4460331.

It is a super-2 number, since 2×13306440² = 354122690947200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182244 + ... + 182316.

It is an arithmetic number, because the mean of its divisors is an integer number (253080).

Almost surely, 2^13306440 is an apocalyptic number.

13306440 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 13306440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24295680).

13306440 is an abundant number, since it is smaller than the sum of its proper divisors (35284920).

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

13306440 is a wasteful number, since it uses less digits than its factorization.

13306440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 13306440 is about 3647.7993365864. The cubic root of 13306440 is about 236.9666851283.

Adding to 13306440 its reverse (4460331), we get a palindrome (17766771).

The spelling of 13306440 in words is "thirteen million, three hundred six thousand, four hundred forty".