13384440 has 160 divisors (see below), whose sum is σ = 47828880. Its totient is φ = 3359232.

The previous prime is 13384439. The next prime is 13384447. The reversal of 13384440 is 4448331.

It is a super-2 number, since 2×13384440² = 358286468227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13384447) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 787312 + ... + 787328.

Almost surely, 2^13384440 is an apocalyptic number.

13384440 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 13384440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23914440).

13384440 is an abundant number, since it is smaller than the sum of its proper divisors (34444440).

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

13384440 is an frugal number, since it uses more digits than its factorization.

13384440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 13384440 is about 3658.4750921661. The cubic root of 13384440 is about 237.4288022965.

It can be divided in two parts, 13384 and 440, that added together give a cube (13824 = 24³).

The spelling of 13384440 in words is "thirteen million, three hundred eighty-four thousand, four hundred forty".