13440960 has 168 divisors, whose sum is σ = 49926240. Its totient is φ = 3299328.

The previous prime is 13440943. The next prime is 13440971. The reversal of 13440960 is 6904431.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 37261 + ... + 37619.

It is an arithmetic number, because the mean of its divisors is an integer number (297180).

Almost surely, 2^13440960 is an apocalyptic number.

13440960 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 13440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24963120).

13440960 is an abundant number, since it is smaller than the sum of its proper divisors (36485280).

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

13440960 is a wasteful number, since it uses less digits than its factorization.

13440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 382 counting only the distinct ones).

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

The square root of 13440960 is about 3666.1914843608. The cubic root of 13440960 is about 237.7625388538.

It can be divided in two parts, 13440 and 960, that added together give a square (14400 = 120²).

The spelling of 13440960 in words is "thirteen million, four hundred forty thousand, nine hundred sixty".