12920816 has 40 divisors (see below), whose sum is σ = 26940240. Its totient is φ = 5981184.

The previous prime is 12920813. The next prime is 12920819. The reversal of 12920816 is 61802921.

12920816 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 (12920813) and next prime (12920819).

It is a super-2 number, since 2×12920816² = 333894972211712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12920813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17870 + ... + 18578.

It is an arithmetic number, because the mean of its divisors is an integer number (673506).

Almost surely, 2^12920816 is an apocalyptic number.

12920816 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 12920816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13470120).

12920816 is an abundant number, since it is smaller than the sum of its proper divisors (14019424).

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

12920816 is a wasteful number, since it uses less digits than its factorization.

12920816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 12920816 is about 3594.5536579665. The cubic root of 12920816 is about 234.6550908259.

The spelling of 12920816 in words is "twelve million, nine hundred twenty thousand, eight hundred sixteen".