1682987940 has 72 divisors (see below), whose sum is σ = 5108653368. Its totient is φ = 448481280.

The previous prime is 1682987903. The next prime is 1682987951. The reversal of 1682987940 is 497892861.

It can be written as a sum of positive squares in 4 ways, for example, as 573698304 + 1109289636 = 23952^2 + 33306^2 .

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 23 ways as a sum of consecutive naturals, for example, 372334 + ... + 376826.

It is an arithmetic number, because the mean of its divisors is an integer number (70953519).

Almost surely, 2^1682987940 is an apocalyptic number.

1682987940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1682987940 is an abundant number, since it is smaller than the sum of its proper divisors (3425665428).

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

1682987940 is a wasteful number, since it uses less digits than its factorization.

1682987940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6589 (or 6584 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 1682987940 is about 41024.2360075115. The cubic root of 1682987940 is about 1189.4887383134.

The spelling of 1682987940 in words is "one billion, six hundred eighty-two million, nine hundred eighty-seven thousand, nine hundred forty".