1682640160 has 24 divisors (see below), whose sum is σ = 3975237756. Its totient is φ = 673056000.

The previous prime is 1682640143. The next prime is 1682640191. The reversal of 1682640160 is 610462861.

It can be written as a sum of positive squares in 2 ways, for example, as 1660399504 + 22240656 = 40748^2 + 4716^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5258091 + ... + 5258410.

Almost surely, 2^1682640160 is an apocalyptic number.

1682640160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1682640160 is an abundant number, since it is smaller than the sum of its proper divisors (2292597596).

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

1682640160 is a wasteful number, since it uses less digits than its factorization.

1682640160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10516516 (or 10516508 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 1682640160 is about 41019.9970745977. The cubic root of 1682640160 is about 1189.4067989479.

The spelling of 1682640160 in words is "one billion, six hundred eighty-two million, six hundred forty thousand, one hundred sixty".