12892896 has 72 divisors (see below), whose sum is σ = 37149840. Its totient is φ = 4240896.

The previous prime is 12892883. The next prime is 12892897. The reversal of 12892896 is 69829821.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12892897) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 25381 + ... + 25883.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 2^12892896 is an apocalyptic number.

12892896 is a gapful number since it is divisible by the number (16) 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 12892896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18574920).

12892896 is an abundant number, since it is smaller than the sum of its proper divisors (24256944).

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

12892896 is a wasteful number, since it uses less digits than its factorization.

12892896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 597 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 12892896 is about 3590.6679044434. The cubic root of 12892896 is about 234.4859504557.

The spelling of 12892896 in words is "twelve million, eight hundred ninety-two thousand, eight hundred ninety-six".