1268873760 has 288 divisors, whose sum is σ = 5022573696. Its totient is φ = 263577600.

The previous prime is 1268873759. The next prime is 1268873773. The reversal of 1268873760 is 673788621.

It is a super-2 number, since 2×1268873760² = 3220081237633075200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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, 405000 + ... + 408120.

It is an arithmetic number, because the mean of its divisors is an integer number (17439492).

Almost surely, 2^1268873760 is an apocalyptic number.

1268873760 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 1268873760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511286848).

1268873760 is an abundant number, since it is smaller than the sum of its proper divisors (3753699936).

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

1268873760 is a wasteful number, since it uses less digits than its factorization.

1268873760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 1268873760 is about 35621.2543294028. The cubic root of 1268873760 is about 1082.6119222834.

The spelling of 1268873760 in words is "one billion, two hundred sixty-eight million, eight hundred seventy-three thousand, seven hundred sixty".