12769960 has 64 divisors (see below), whose sum is σ = 33436800. Its totient is φ = 4298496.

The previous prime is 12769949. The next prime is 12769961. The reversal of 12769960 is 6996721.

12769960 = T₁₅₁ + T₁₅₂ + ... + T₄₃₀.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (12769961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16134 + ... + 16906.

It is an arithmetic number, because the mean of its divisors is an integer number (522450).

Almost surely, 2^12769960 is an apocalyptic number.

12769960 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 12769960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16718400).

12769960 is an abundant number, since it is smaller than the sum of its proper divisors (20666840).

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

12769960 is a wasteful number, since it uses less digits than its factorization.

12769960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 12769960 is about 3573.5080803043. The cubic root of 12769960 is about 233.7382809380.

It can be divided in two parts, 1276 and 9960, that added together give a square (11236 = 106²).

The spelling of 12769960 in words is "twelve million, seven hundred sixty-nine thousand, nine hundred sixty".