12684672 has 288 divisors, whose sum is σ = 49380240. Its totient is φ = 3041280.

The previous prime is 12684671. The next prime is 12684677. The reversal of 12684672 is 27648621.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (32256) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12684671) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 975738 + ... + 975750.

Almost surely, 2^12684672 is an apocalyptic number.

12684672 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 12684672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24690120).

12684672 is an abundant number, since it is smaller than the sum of its proper divisors (36695568).

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

12684672 is a wasteful number, since it uses less digits than its factorization.

12684672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 36 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 12684672 is about 3561.5547166933. The cubic root of 12684672 is about 233.2167544625.

The spelling of 12684672 in words is "twelve million, six hundred eighty-four thousand, six hundred seventy-two".