1296671040 has 168 divisors, whose sum is σ = 5097231360. Its totient is φ = 296377344.

The previous prime is 1296671029. The next prime is 1296671053. The reversal of 1296671040 is 401766921.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1296670986 and 1296671004.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12000 + ... + 52319.

Almost surely, 2^1296671040 is an apocalyptic number.

1296671040 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 1296671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548615680).

1296671040 is an abundant number, since it is smaller than the sum of its proper divisors (3800560320).

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

1296671040 is a wasteful number, since it uses less digits than its factorization.

1296671040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64349 (or 64336 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1296671040 is about 36009.3187938900. The cubic root of 1296671040 is about 1090.4604961639.

The spelling of 1296671040 in words is "one billion, two hundred ninety-six million, six hundred seventy-one thousand, forty".