1301682168 has 96 divisors (see below), whose sum is σ = 3669775200. Its totient is φ = 416312064.

The previous prime is 1301682059. The next prime is 1301682181. The reversal of 1301682168 is 8612861031.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346830 + ... + 350562.

It is an arithmetic number, because the mean of its divisors is an integer number (38226825).

Almost surely, 2^1301682168 is an apocalyptic number.

1301682168 is a gapful number since it is divisible by the number (18) 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 1301682168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834887600).

1301682168 is an abundant number, since it is smaller than the sum of its proper divisors (2368093032).

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

1301682168 is a wasteful number, since it uses less digits than its factorization.

1301682168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1301682168 is about 36078.8326862164. The cubic root of 1301682168 is about 1091.8634253379.

The spelling of 1301682168 in words is "one billion, three hundred one million, six hundred eighty-two thousand, one hundred sixty-eight".