1684271680 has 112 divisors (see below), whose sum is σ = 4936296960. Its totient is φ = 533035008.

The previous prime is 1684271647. The next prime is 1684271707. The reversal of 1684271680 is 861724861.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×1684271680³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 201 + ... + 58039.

It is an arithmetic number, because the mean of its divisors is an integer number (44074080).

Almost surely, 2^1684271680 is an apocalyptic number.

1684271680 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 1684271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468148480).

1684271680 is an abundant number, since it is smaller than the sum of its proper divisors (3252025280).

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

1684271680 is a wasteful number, since it uses less digits than its factorization.

1684271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57876 (or 57866 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The square root of 1684271680 is about 41039.8791421222. The cubic root of 1684271680 is about 1189.7910986077.

The spelling of 1684271680 in words is "one billion, six hundred eighty-four million, two hundred seventy-one thousand, six hundred eighty".