1682681312 has 96 divisors (see below), whose sum is σ = 3664688832. Its totient is φ = 755748864.

The previous prime is 1682681309. The next prime is 1682681321. The reversal of 1682681312 is 2131862861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3681788 + ... + 3682244.

It is an arithmetic number, because the mean of its divisors is an integer number (38173842).

Almost surely, 2^1682681312 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 1682681312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832344416).

1682681312 is an abundant number, since it is smaller than the sum of its proper divisors (1982007520).

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

1682681312 is a wasteful number, since it uses less digits than its factorization.

1682681312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 692 counting only the distinct ones).

The product of its digits is 27648, while the sum is 38.

The square root of 1682681312 is about 41020.4986805378. The cubic root of 1682681312 is about 1189.4164952317.

The spelling of 1682681312 in words is "one billion, six hundred eighty-two million, six hundred eighty-one thousand, three hundred twelve".