1268933760 has 96 divisors (see below), whose sum is σ = 4381806780. Its totient is φ = 338380800.

The previous prime is 1268933747. The next prime is 1268933767. The reversal of 1268933760 is 673398621.

It can be written as a sum of positive squares in 2 ways, for example, as 1266790464 + 2143296 = 35592^2 + 1464^2 .

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

It is a super-2 number, since 2×1268933760² = 3220385774535475200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1268933767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104391 + ... + 115910.

Almost surely, 2^1268933760 is an apocalyptic number.

1268933760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1268933760 is an abundant number, since it is smaller than the sum of its proper divisors (3112873020).

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

1268933760 is a wasteful number, since it uses less digits than its factorization.

1268933760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220326 (or 220311 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1268933760 is about 35622.0965132599. The cubic root of 1268933760 is about 1082.6289861536.

It can be divided in two parts, 1268 and 933760, that added together give a triangular number (935028 = T₁₃₆₇).

The spelling of 1268933760 in words is "one billion, two hundred sixty-eight million, nine hundred thirty-three thousand, seven hundred sixty".