1301830768 has 80 divisors (see below), whose sum is σ = 2964185280. Its totient is φ = 542361600.

The previous prime is 1301830763. The next prime is 1301830781. The reversal of 1301830768 is 8670381031.

It is a super-2 number, since 2×1301830768² = 3389526697022939648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301830763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 606978 + ... + 609118.

It is an arithmetic number, because the mean of its divisors is an integer number (37052316).

Almost surely, 2^1301830768 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 1301830768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482092640).

1301830768 is an abundant number, since it is smaller than the sum of its proper divisors (1662354512).

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

1301830768 is a wasteful number, since it uses less digits than its factorization.

1301830768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 1301830768 is about 36080.8920067118. The cubic root of 1301830768 is about 1091.9049727897.

The spelling of 1301830768 in words is "one billion, three hundred one million, eight hundred thirty thousand, seven hundred sixty-eight".