13308672 has 144 divisors (see below), whose sum is σ = 40291328. Its totient is φ = 3870720.

The previous prime is 13308667. The next prime is 13308677. The reversal of 13308672 is 27680331.

It is an interprime number because it is at equal distance from previous prime (13308667) and next prime (13308677).

It is not an unprimeable number, because it can be changed into a prime (13308677) 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, 309483 + ... + 309525.

Almost surely, 2^13308672 is an apocalyptic number.

13308672 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 13308672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20145664).

13308672 is an abundant number, since it is smaller than the sum of its proper divisors (26982656).

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

13308672 is a wasteful number, since it uses less digits than its factorization.

13308672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 13308672 is about 3648.1052616393. The cubic root of 13308672 is about 236.9799338527.

The spelling of 13308672 in words is "thirteen million, three hundred eight thousand, six hundred seventy-two".