13726740 has 48 divisors (see below), whose sum is σ = 40461120. Its totient is φ = 3467520.

The previous prime is 13726733. The next prime is 13726747. The reversal of 13726740 is 4762731.

It is an interprime number because it is at equal distance from previous prime (13726733) and next prime (13726747).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13726698 and 13726707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13726747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4881 + ... + 7160.

It is an arithmetic number, because the mean of its divisors is an integer number (842940).

Almost surely, 2^13726740 is an apocalyptic number.

13726740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13726740 is an abundant number, since it is smaller than the sum of its proper divisors (26734380).

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

13726740 is a wasteful number, since it uses less digits than its factorization.

13726740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12072 (or 12070 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 13726740 is about 3704.9615382619. The cubic root of 13726740 is about 239.4358276066.

The spelling of 13726740 in words is "thirteen million, seven hundred twenty-six thousand, seven hundred forty".