1268093760 has 56 divisors (see below), whose sum is σ = 4026200736. Its totient is φ = 338158080.

The previous prime is 1268093689. The next prime is 1268093777. The reversal of 1268093760 is 673908621.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 659506 + ... + 661425.

Almost surely, 2^1268093760 is an apocalyptic number.

1268093760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1268093760 is an abundant number, since it is smaller than the sum of its proper divisors (2758106976).

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

1268093760 is a wasteful number, since it uses less digits than its factorization.

1268093760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320951 (or 1320941 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 1268093760 is about 35610.3041267552. The cubic root of 1268093760 is about 1082.3900430034.

The spelling of 1268093760 in words is "one billion, two hundred sixty-eight million, ninety-three thousand, seven hundred sixty".