12689520 has 80 divisors (see below), whose sum is σ = 40428960. Its totient is φ = 3290112.

The previous prime is 12689507. The next prime is 12689581. The reversal of 12689520 is 2598621.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×12689520² = 322047835660800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8166 + ... + 9594.

It is an arithmetic number, because the mean of its divisors is an integer number (505362).

Almost surely, 2^12689520 is an apocalyptic number.

12689520 is a gapful number since it is divisible by the number (10) 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 12689520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20214480).

12689520 is an abundant number, since it is smaller than the sum of its proper divisors (27739440).

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

12689520 is a wasteful number, since it uses less digits than its factorization.

12689520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 12689520 is about 3562.2352533206. The cubic root of 12689520 is about 233.2464619924.

The spelling of 12689520 in words is "twelve million, six hundred eighty-nine thousand, five hundred twenty".