13743680 has 56 divisors (see below), whose sum is σ = 33878520. Its totient is φ = 5304320.

The previous prime is 13743661. The next prime is 13743731. The reversal of 13743680 is 8634731.

It can be written as a sum of positive squares in 4 ways, for example, as 1183744 + 12559936 = 1088^2 + 3544^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8540 + ... + 10020.

Almost surely, 2^13743680 is an apocalyptic number.

13743680 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 13743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16939260).

13743680 is an abundant number, since it is smaller than the sum of its proper divisors (20134840).

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

13743680 is a wasteful number, since it uses less digits than its factorization.

13743680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 13743680 is about 3707.2469569749. The cubic root of 13743680 is about 239.5342820480.

The spelling of 13743680 in words is "thirteen million, seven hundred forty-three thousand, six hundred eighty".