1268411760 has 480 divisors, whose sum is σ = 5381655552. Its totient is φ = 260075520.

The previous prime is 1268411743. The next prime is 1268411777. The reversal of 1268411760 is 671148621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1268411743) and next prime (1268411777).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7595197 + ... + 7595363.

Almost surely, 2^1268411760 is an apocalyptic number.

1268411760 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 1268411760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690827776).

1268411760 is an abundant number, since it is smaller than the sum of its proper divisors (4113243792).

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

1268411760 is a wasteful number, since it uses less digits than its factorization.

1268411760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1268411760 is about 35614.7688466456. The cubic root of 1268411760 is about 1082.4805124615.

The spelling of 1268411760 in words is "one billion, two hundred sixty-eight million, four hundred eleven thousand, seven hundred sixty".