12642080 has 72 divisors (see below), whose sum is σ = 32879196. Its totient is φ = 4590080.

The previous prime is 12642061. The next prime is 12642083. The reversal of 12642080 is 8024621.

It can be written as a sum of positive squares in 2 ways, for example, as 12082576 + 559504 = 3476^2 + 748^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12642083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19034 + ... + 19686.

Almost surely, 2^12642080 is an apocalyptic number.

12642080 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 12642080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16439598).

12642080 is an abundant number, since it is smaller than the sum of its proper divisors (20237116).

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

12642080 is a wasteful number, since it uses less digits than its factorization.

12642080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 12642080 is about 3555.5702777473. The cubic root of 12642080 is about 232.9554336469.

The spelling of 12642080 in words is "twelve million, six hundred forty-two thousand, eighty".