1268385280 has 160 divisors (see below), whose sum is σ = 3248229600. Its totient is φ = 473628672.

The previous prime is 1268385263. The next prime is 1268385281. The reversal of 1268385280 is 825838621.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268385281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4328814 + ... + 4329106.

It is an arithmetic number, because the mean of its divisors is an integer number (20301435).

Almost surely, 2^1268385280 is an apocalyptic number.

1268385280 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 1268385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624114800).

1268385280 is an abundant number, since it is smaller than the sum of its proper divisors (1979844320).

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

1268385280 is an equidigital number, since it uses as much as digits as its factorization.

1268385280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The square root of 1268385280 is about 35614.3970888179. The cubic root of 1268385280 is about 1082.4729796071.

The spelling of 1268385280 in words is "one billion, two hundred sixty-eight million, three hundred eighty-five thousand, two hundred eighty".