12823590 has 64 divisors (see below), whose sum is σ = 33530112. Its totient is φ = 3120000.

The previous prime is 12823541. The next prime is 12823607. The reversal of 12823590 is 9532821.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50965 + ... + 51215.

It is an arithmetic number, because the mean of its divisors is an integer number (523908).

Almost surely, 2^12823590 is an apocalyptic number.

12823590 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 12823590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16765056).

12823590 is an abundant number, since it is smaller than the sum of its proper divisors (20706522).

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

12823590 is a wasteful number, since it uses less digits than its factorization.

12823590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 12823590 is about 3581.0040491460. The cubic root of 12823590 is about 234.0650341555.

The spelling of 12823590 in words is "twelve million, eight hundred twenty-three thousand, five hundred ninety".