12889536 has 112 divisors (see below), whose sum is σ = 39502080. Its totient is φ = 3665920.

The previous prime is 12889531. The next prime is 12889549. The reversal of 12889536 is 63598821.

It is a super-2 number, since 2×12889536² = 332280276590592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12889531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35725 + ... + 36083.

Almost surely, 2^12889536 is an apocalyptic number.

12889536 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 12889536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19751040).

12889536 is an abundant number, since it is smaller than the sum of its proper divisors (26612544).

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

12889536 is a wasteful number, since it uses less digits than its factorization.

12889536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 392 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 12889536 is about 3590.1999944293. The cubic root of 12889536 is about 234.4655789983.

The spelling of 12889536 in words is "twelve million, eight hundred eighty-nine thousand, five hundred thirty-six".