12889296 has 120 divisors (see below), whose sum is σ = 43459520. Its totient is φ = 3483648.

The previous prime is 12889291. The next prime is 12889301. The reversal of 12889296 is 69298821.

It is an interprime number because it is at equal distance from previous prime (12889291) and next prime (12889301).

It is a super-2 number, since 2×12889296² = 332267902751232, which contains 22 as substring.

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 (12889291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18816 + ... + 19488.

Almost surely, 2^12889296 is an apocalyptic number.

12889296 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 12889296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21729760).

12889296 is an abundant number, since it is smaller than the sum of its proper divisors (30570224).

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

12889296 is a wasteful number, since it uses less digits than its factorization.

12889296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 704 counting only the distinct ones).

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

The square root of 12889296 is about 3590.1665699519. The cubic root of 12889296 is about 234.4641237587.

The spelling of 12889296 in words is "twelve million, eight hundred eighty-nine thousand, two hundred ninety-six".