12693672 has 80 divisors (see below), whose sum is σ = 37461600. Its totient is φ = 4004640.

The previous prime is 12693671. The next prime is 12693689. The reversal of 12693672 is 27639621.

It is a super-2 number, since 2×12693672² = 322258617687168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12693671) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11797 + ... + 12827.

It is an arithmetic number, because the mean of its divisors is an integer number (468270).

Almost surely, 2^12693672 is an apocalyptic number.

12693672 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 12693672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18730800).

12693672 is an abundant number, since it is smaller than the sum of its proper divisors (24767928).

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

12693672 is a wasteful number, since it uses less digits than its factorization.

12693672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1055 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 12693672 is about 3562.8179858084. The cubic root of 12693672 is about 233.2718985654.

The spelling of 12693672 in words is "twelve million, six hundred ninety-three thousand, six hundred seventy-two".