1296046080 has 576 divisors, whose sum is σ = 5366088000. Its totient is φ = 289013760.

The previous prime is 1296046061. The next prime is 1296046111. The reversal of 1296046080 is 806406921.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 31610860 + ... + 31610900.

It is an arithmetic number, because the mean of its divisors is an integer number (9316125).

Almost surely, 2^1296046080 is an apocalyptic number.

1296046080 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 1296046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683044000).

1296046080 is an abundant number, since it is smaller than the sum of its proper divisors (4070041920).

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

1296046080 is an equidigital number, since it uses as much as digits as its factorization.

1296046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1296046080 is about 36000.6399943112. The cubic root of 1296046080 is about 1090.2852772926.

The spelling of 1296046080 in words is "one billion, two hundred ninety-six million, forty-six thousand, eighty".