1682163940 has 48 divisors (see below), whose sum is σ = 3764284272. Its totient is φ = 629231616.

The previous prime is 1682163919. The next prime is 1682163941. The reversal of 1682163940 is 493612861.

It can be written as a sum of positive squares in 8 ways, for example, as 258309184 + 1423854756 = 16072^2 + 37734^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1682163893 and 1682163902.

It is not an unprimeable number, because it can be changed into a prime (1682163941) by changing a digit.

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, 37624 + ... + 69136.

It is an arithmetic number, because the mean of its divisors is an integer number (78422589).

Almost surely, 2^1682163940 is an apocalyptic number.

1682163940 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 1682163940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882142136).

1682163940 is an abundant number, since it is smaller than the sum of its proper divisors (2082120332).

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

1682163940 is a wasteful number, since it uses less digits than its factorization.

1682163940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31696 (or 31694 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 1682163940 is about 41014.1919340123. The cubic root of 1682163940 is about 1189.2945799159.

The spelling of 1682163940 in words is "one billion, six hundred eighty-two million, one hundred sixty-three thousand, nine hundred forty".