12820080 has 160 divisors (see below), whose sum is σ = 48996864. Its totient is φ = 2700288.

The previous prime is 12820061. The next prime is 12820099. The reversal of 12820080 is 8002821.

12820080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12820061) and next prime (12820099).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21547 + ... + 22133.

Almost surely, 2^12820080 is an apocalyptic number.

12820080 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 12820080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24498432).

12820080 is an abundant number, since it is smaller than the sum of its proper divisors (36176784).

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

12820080 is a wasteful number, since it uses less digits than its factorization.

12820080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 12820080 is about 3580.5139295917. The cubic root of 12820080 is about 234.0436765575.

The spelling of 12820080 in words is "twelve million, eight hundred twenty thousand, eighty".