12752960 has 56 divisors (see below), whose sum is σ = 33137856. Its totient is φ = 4636160.

The previous prime is 12752951. The next prime is 12752969. The reversal of 12752960 is 6925721.

It is an interprime number because it is at equal distance from previous prime (12752951) and next prime (12752969).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (12752969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1709 + ... + 5331.

Almost surely, 2^12752960 is an apocalyptic number.

12752960 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 12752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16568928).

12752960 is an abundant number, since it is smaller than the sum of its proper divisors (20384896).

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

12752960 is a wasteful number, since it uses less digits than its factorization.

12752960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3651 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 12752960 is about 3571.1286731228. The cubic root of 12752960 is about 233.6345135719.

The spelling of 12752960 in words is "twelve million, seven hundred fifty-two thousand, nine hundred sixty".