1296512 has 32 divisors (see below), whose sum is σ = 2953920. Its totient is φ = 555264.

The previous prime is 1296511. The next prime is 1296521. The reversal of 1296512 is 2156921.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1296512² = 3361886732288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1296511) 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 3 ways as a sum of consecutive naturals, for example, 173 + ... + 1619.

It is an arithmetic number, because the mean of its divisors is an integer number (92310).

2^1296512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1296512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476960).

1296512 is an abundant number, since it is smaller than the sum of its proper divisors (1657408).

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

1296512 is an equidigital number, since it uses as much as digits as its factorization.

1296512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1456 counting only the distinct ones).

The product of its digits is 1080, while the sum is 26.

The square root of 1296512 is about 1138.6448085334. The cubic root of 1296512 is about 109.0415911757.

It can be divided in two parts, 129 and 6512, that multiplied together give a palindrome (840048).

The spelling of 1296512 in words is "one million, two hundred ninety-six thousand, five hundred twelve".