12829740 has 96 divisors (see below), whose sum is σ = 44803584. Its totient is φ = 2664960.

The previous prime is 12829721. The next prime is 12829741. The reversal of 12829740 is 4792821.

It is a happy number.

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 (12829741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3232 + ... + 6008.

It is an arithmetic number, because the mean of its divisors is an integer number (466704).

Almost surely, 2^12829740 is an apocalyptic number.

12829740 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 12829740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22401792).

12829740 is an abundant number, since it is smaller than the sum of its proper divisors (31973844).

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

12829740 is a wasteful number, since it uses less digits than its factorization.

12829740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807 (or 2805 counting only the distinct ones).

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

The square root of 12829740 is about 3581.8626439326. The cubic root of 12829740 is about 234.1024461933.

The spelling of 12829740 in words is "twelve million, eight hundred twenty-nine thousand, seven hundred forty".