1301838768 has 60 divisors (see below), whose sum is σ = 3768984960. Its totient is φ = 418981248.

The previous prime is 1301838757. The next prime is 1301838779. The reversal of 1301838768 is 8678381031.

1301838768 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1301838757) and next prime (1301838779).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151696 + ... + 160047.

It is an arithmetic number, because the mean of its divisors is an integer number (62816416).

Almost surely, 2^1301838768 is an apocalyptic number.

1301838768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1301838768 is an abundant number, since it is smaller than the sum of its proper divisors (2467146192).

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

1301838768 is a wasteful number, since it uses less digits than its factorization.

1301838768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311786 (or 311777 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1301838768 is about 36081.0028685457. The cubic root of 1301838768 is about 1091.9072094403.

The spelling of 1301838768 in words is "one billion, three hundred one million, eight hundred thirty-eight thousand, seven hundred sixty-eight".