1298813760 has 336 divisors, whose sum is σ = 4655978496. Its totient is φ = 332107776.

The previous prime is 1298813741. The next prime is 1298813767. The reversal of 1298813760 is 673188921.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1298813767) 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 47 ways as a sum of consecutive naturals, for example, 10226817 + ... + 10226943.

Almost surely, 2^1298813760 is an apocalyptic number.

1298813760 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 1298813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327989248).

1298813760 is an abundant number, since it is smaller than the sum of its proper divisors (3357164736).

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

1298813760 is a wasteful number, since it uses less digits than its factorization.

1298813760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1298813760 is about 36039.0588112398. The cubic root of 1298813760 is about 1091.0608195020.

The spelling of 1298813760 in words is "one billion, two hundred ninety-eight million, eight hundred thirteen thousand, seven hundred sixty".