1268338621 has 8 divisors (see below), whose sum is σ = 1415820384. Its totient is φ = 1126219920.

The previous prime is 1268338579. The next prime is 1268338633.

1268338621 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1268338621 - 2¹⁹ = 1267814333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268338691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1340266 + ... + 1341211.

It is an arithmetic number, because the mean of its divisors is an integer number (176977548).

Almost surely, 2^1268338621 is an apocalyptic number.

1268338621 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1268338621 is a deficient number, since it is larger than the sum of its proper divisors (147481763).

1268338621 is a wasteful number, since it uses less digits than its factorization.

1268338621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681531.

The product of its digits is 82944, while the sum is 40.

The square root of 1268338621 is about 35613.7420246736. The cubic root of 1268338621 is about 1082.4597061097.

It can be divided in two parts, 1268 and 338621, that added together give a square (339889 = 583²).

The spelling of 1268338621 in words is "one billion, two hundred sixty-eight million, three hundred thirty-eight thousand, six hundred twenty-one".