12826560 has 112 divisors (see below), whose sum is σ = 42135552. Its totient is φ = 3302400.

The previous prime is 12826553. The next prime is 12826609. The reversal of 12826560 is 6562821.

12826560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29545 + ... + 29975.

Almost surely, 2^12826560 is an apocalyptic number.

12826560 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 12826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21067776).

12826560 is an abundant number, since it is smaller than the sum of its proper divisors (29308992).

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

12826560 is a wasteful number, since it uses less digits than its factorization.

12826560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 12826560 is about 3581.4187133034. The cubic root of 12826560 is about 234.0831029254.

The spelling of 12826560 in words is "twelve million, eight hundred twenty-six thousand, five hundred sixty".