13140672 has 56 divisors (see below), whose sum is σ = 35204400. Its totient is φ = 4325376.

The previous prime is 13140649. The next prime is 13140689. The reversal of 13140672 is 27604131.

It is a super-3 number, since 3×13140672³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16704 + ... + 17472.

It is an arithmetic number, because the mean of its divisors is an integer number (628650).

Almost surely, 2^13140672 is an apocalyptic number.

13140672 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 13140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17602200).

13140672 is an abundant number, since it is smaller than the sum of its proper divisors (22063728).

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

13140672 is an equidigital number, since it uses as much as digits as its factorization.

13140672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 13140672 is about 3625.0064827528. The cubic root of 13140672 is about 235.9785482752.

The spelling of 13140672 in words is "thirteen million, one hundred forty thousand, six hundred seventy-two".