12820416 has 56 divisors (see below), whose sum is σ = 38770560. Its totient is φ = 3662592.

The previous prime is 12820373. The next prime is 12820427. The reversal of 12820416 is 61402821.

12820416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 3426 + ... + 6113.

Almost surely, 2^12820416 is an apocalyptic number.

12820416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12820416 is an abundant number, since it is smaller than the sum of its proper divisors (25950144).

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

12820416 is an equidigital number, since it uses as much as digits as its factorization.

12820416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9561 (or 9551 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12820416 is about 3580.5608499228. The cubic root of 12820416 is about 234.0457212143.

The spelling of 12820416 in words is "twelve million, eight hundred twenty thousand, four hundred sixteen".