13286672 has 40 divisors (see below), whose sum is σ = 29748096. Its totient is φ = 5630976.

The previous prime is 13286659. The next prime is 13286683. The reversal of 13286672 is 27668231.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10253 + ... + 11475.

Almost surely, 2^13286672 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 13286672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14874048).

13286672 is an abundant number, since it is smaller than the sum of its proper divisors (16461424).

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

13286672 is a wasteful number, since it uses less digits than its factorization.

13286672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1329 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 13286672 is about 3645.0887506342. The cubic root of 13286672 is about 236.8492813490.

It can be divided in two parts, 1328 and 6672, that added together give a cube (8000 = 20³).

The spelling of 13286672 in words is "thirteen million, two hundred eighty-six thousand, six hundred seventy-two".