12835816 has 64 divisors (see below), whose sum is σ = 29635200. Its totient is φ = 5087232.

The previous prime is 12835813. The next prime is 12835819. The reversal of 12835816 is 61853821.

It is an interprime number because it is at equal distance from previous prime (12835813) and next prime (12835819).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12835813) 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, 92275 + ... + 92413.

It is an arithmetic number, because the mean of its divisors is an integer number (463050).

Almost surely, 2^12835816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12835816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817600).

12835816 is an abundant number, since it is smaller than the sum of its proper divisors (16799384).

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

12835816 is a wasteful number, since it uses less digits than its factorization.

12835816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The square root of 12835816 is about 3582.7107055971. The cubic root of 12835816 is about 234.1393963310.

The spelling of 12835816 in words is "twelve million, eight hundred thirty-five thousand, eight hundred sixteen".