12826320 has 80 divisors (see below), whose sum is σ = 42830592. Its totient is φ = 3156480.

The previous prime is 12826301. The next prime is 12826321. The reversal of 12826320 is 2362821.

12826320 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 (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12826321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1065 + ... + 5175.

Almost surely, 2^12826320 is an apocalyptic number.

12826320 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 12826320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21415296).

12826320 is an abundant number, since it is smaller than the sum of its proper divisors (30004272).

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

12826320 is a wasteful number, since it uses less digits than its factorization.

12826320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4140 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 12826320 is about 3581.3852068718. The cubic root of 12826320 is about 234.0816429264.

The spelling of 12826320 in words is "twelve million, eight hundred twenty-six thousand, three hundred twenty".