12824790 has 48 divisors (see below), whose sum is σ = 33841584. Its totient is φ = 3108160.

The previous prime is 12824789. The next prime is 12824797. The reversal of 12824790 is 9742821.

It is a happy number.

12824790 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12824797) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1864 + ... + 5396.

It is an arithmetic number, because the mean of its divisors is an integer number (705033).

Almost surely, 2^12824790 is an apocalyptic number.

12824790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12824790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16920792).

12824790 is an abundant number, since it is smaller than the sum of its proper divisors (21016794).

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

12824790 is a wasteful number, since it uses less digits than its factorization.

12824790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 12824790 is about 3581.1715960004. The cubic root of 12824790 is about 234.0723350044.

The spelling of 12824790 in words is "twelve million, eight hundred twenty-four thousand, seven hundred ninety".