13726464 has 72 divisors (see below), whose sum is σ = 37258032. Its totient is φ = 4485120.

The previous prime is 13726451. The next prime is 13726477. The reversal of 13726464 is 46462731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13726451) and next prime (13726477).

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, 46702 + ... + 46994.

Almost surely, 2^13726464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13726464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18629016).

13726464 is an abundant number, since it is smaller than the sum of its proper divisors (23531568).

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

13726464 is an equidigital number, since it uses as much as digits as its factorization.

13726464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 359 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 13726464 is about 3704.9242907244. The cubic root of 13726464 is about 239.4342228378.

The spelling of 13726464 in words is "thirteen million, seven hundred twenty-six thousand, four hundred sixty-four".