12890624 has 40 divisors (see below), whose sum is σ = 27289548. Its totient is φ = 6062080.

The previous prime is 12890617. The next prime is 12890629. The reversal of 12890624 is 42609821.

It can be written as a sum of positive squares in 2 ways, for example, as 12730624 + 160000 = 3568^2 + 400^2 .

It is a trimorphic number since its cube, 2142011620788612890624, ends in 12890624.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a plaindrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (12890629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7964 + ... + 9444.

Almost surely, 2^12890624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12890624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13644774).

12890624 is an abundant number, since it is smaller than the sum of its proper divisors (14398924).

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

12890624 is an equidigital number, since it uses as much as digits as its factorization.

12890624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 12890624 is about 3590.3515148241. The cubic root of 12890624 is about 234.4721758577.

The spelling of 12890624 in words is "twelve million, eight hundred ninety thousand, six hundred twenty-four".