13609440 has 144 divisors (see below), whose sum is σ = 50083488. Its totient is φ = 3345408.

The previous prime is 13609433. The next prime is 13609481. The reversal of 13609440 is 4490631.

13609440 is a `hidden beast` number, since 13 + 609 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13609440² = 370433714227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18357 + ... + 19083.

It is an arithmetic number, because the mean of its divisors is an integer number (347802).

Almost surely, 2^13609440 is an apocalyptic number.

13609440 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 13609440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25041744).

13609440 is an abundant number, since it is smaller than the sum of its proper divisors (36474048).

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

13609440 is a wasteful number, since it uses less digits than its factorization.

13609440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13609440 is about 3689.0974505968. The cubic root of 13609440 is about 238.7518534618.

The spelling of 13609440 in words is "thirteen million, six hundred nine thousand, four hundred forty".