1268945760 has 96 divisors (see below), whose sum is σ = 4002536160. Its totient is φ = 337932288.

The previous prime is 1268945759. The next prime is 1268945791. The reversal of 1268945760 is 675498621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1268945760² = 3220446683643955200, which contains 22 as substring.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 511884 + ... + 514356.

It is an arithmetic number, because the mean of its divisors is an integer number (41693085).

Almost surely, 2^1268945760 is an apocalyptic number.

1268945760 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 1268945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001268080).

1268945760 is an abundant number, since it is smaller than the sum of its proper divisors (2733590400).

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

1268945760 is a wasteful number, since it uses less digits than its factorization.

1268945760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 1268945760 is about 35622.2649476419. The cubic root of 1268945760 is about 1082.6323988631.

The spelling of 1268945760 in words is "one billion, two hundred sixty-eight million, nine hundred forty-five thousand, seven hundred sixty".