13404672 has 60 divisors (see below), whose sum is σ = 38700090. Its totient is φ = 4466688.

The previous prime is 13404667. The next prime is 13404673. The reversal of 13404672 is 27640431.

It can be written as a sum of positive squares in only one way, i.e., 9144576 + 4260096 = 3024^2 + 2064^2 .

It is not an unprimeable number, because it can be changed into a prime (13404673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3154 + ... + 6062.

Almost surely, 2^13404672 is an apocalyptic number.

13404672 is a gapful number since it is divisible by the number (12) 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 13404672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19350045).

13404672 is an abundant number, since it is smaller than the sum of its proper divisors (25295418).

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

13404672 is an equidigital number, since it uses as much as digits as its factorization.

13404672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 13404672 is about 3661.2391345008. The cubic root of 13404672 is about 237.5483750030.

The spelling of 13404672 in words is "thirteen million, four hundred four thousand, six hundred seventy-two".