13744080 has 240 divisors, whose sum is σ = 55246464. Its totient is φ = 3110400.

The previous prime is 13744063. The next prime is 13744097. The reversal of 13744080 is 8044731.

It is an interprime number because it is at equal distance from previous prime (13744063) and next prime (13744097).

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 136030 + ... + 136130.

Almost surely, 2^13744080 is an apocalyptic number.

13744080 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 13744080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27623232).

13744080 is an abundant number, since it is smaller than the sum of its proper divisors (41502384).

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

13744080 is a wasteful number, since it uses less digits than its factorization.

13744080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 13744080 is about 3707.3009049712. The cubic root of 13744080 is about 239.5366058503.

The spelling of 13744080 in words is "thirteen million, seven hundred forty-four thousand, eighty".