1338068160 has 840 divisors, whose sum is σ = 5901665616. Its totient is φ = 283668480.

The previous prime is 1338068153. The next prime is 1338068161. The reversal of 1338068160 is 618608331.

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

It is not an unprimeable number, because it can be changed into a prime (1338068161) 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 119 ways as a sum of consecutive naturals, for example, 70424631 + ... + 70424649.

Almost surely, 2^1338068160 is an apocalyptic number.

1338068160 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 1338068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950832808).

1338068160 is an abundant number, since it is smaller than the sum of its proper divisors (4563597456).

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

1338068160 is a wasteful number, since it uses less digits than its factorization.

1338068160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1338068160 is about 36579.6139946829. The cubic root of 1338068160 is about 1101.9437149215.

The spelling of 1338068160 in words is "one billion, three hundred thirty-eight million, sixty-eight thousand, one hundred sixty".