12753642 has 32 divisors (see below), whose sum is σ = 28073664. Its totient is φ = 3862320.

The previous prime is 12753613. The next prime is 12753647. The reversal of 12753642 is 24635721.

12753642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (12753647) 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, 7188 + ... + 8784.

It is an arithmetic number, because the mean of its divisors is an integer number (877302).

Almost surely, 2^12753642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12753642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14036832).

12753642 is an abundant number, since it is smaller than the sum of its proper divisors (15320022).

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

12753642 is a wasteful number, since it uses less digits than its factorization.

12753642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1613 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 12753642 is about 3571.2241598645. The cubic root of 12753642 is about 233.6386782494.

The spelling of 12753642 in words is "twelve million, seven hundred fifty-three thousand, six hundred forty-two".