1336291968 has 256 divisors, whose sum is σ = 4060938240. Its totient is φ = 385781760.

The previous prime is 1336291939. The next prime is 1336291969. The reversal of 1336291968 is 8691926331.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (419904) is a multiple of the sum of its prime divisors (243).

It is not an unprimeable number, because it can be changed into a prime (1336291969) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10521921 + ... + 10522047.

It is an arithmetic number, because the mean of its divisors is an integer number (15863040).

Almost surely, 2^1336291968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1336291968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030469120).

1336291968 is an abundant number, since it is smaller than the sum of its proper divisors (2724646272).

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

1336291968 is a wasteful number, since it uses less digits than its factorization.

1336291968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 243 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 1336291968 is about 36555.3274913521. The cubic root of 1336291968 is about 1101.4559145856.

The spelling of 1336291968 in words is "one billion, three hundred thirty-six million, two hundred ninety-one thousand, nine hundred sixty-eight".