1296193080 has 384 divisors, whose sum is σ = 5037742080. Its totient is φ = 264176640.

The previous prime is 1296193061. The next prime is 1296193081. The reversal of 1296193080 is 803916921.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1296193081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2369367 + ... + 2369913.

It is an arithmetic number, because the mean of its divisors is an integer number (13119120).

Almost surely, 2^1296193080 is an apocalyptic number.

1296193080 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 1296193080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518871040).

1296193080 is an abundant number, since it is smaller than the sum of its proper divisors (3741549000).

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

1296193080 is a wasteful number, since it uses less digits than its factorization.

1296193080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 1296193080 is about 36002.6815667944. The cubic root of 1296193080 is about 1090.3264964743.

It can be divided in two parts, 1296 and 193080, that added together give a triangular number (194376 = T₆₂₃).

The spelling of 1296193080 in words is "one billion, two hundred ninety-six million, one hundred ninety-three thousand, eighty".