12833640 has 160 divisors (see below), whose sum is σ = 45868680. Its totient is φ = 3207168.

The previous prime is 12833617. The next prime is 12833647. The reversal of 12833640 is 4633821.

It is a happy number.

12833640 is a `hidden beast` number, since 12 + 8 + 3 + 3 + 640 = 666.

12833640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10150596 + 2683044 = 3186^2 + 1638^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (12833647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54964 + ... + 55196.

Almost surely, 2^12833640 is an apocalyptic number.

12833640 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 12833640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22934340).

12833640 is an abundant number, since it is smaller than the sum of its proper divisors (33035040).

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

12833640 is a wasteful number, since it uses less digits than its factorization.

12833640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 12833640 is about 3582.4070120521. The cubic root of 12833640 is about 234.1261647057.

The spelling of 12833640 in words is "twelve million, eight hundred thirty-three thousand, six hundred forty".