1682000000 has 168 divisors, whose sum is σ = 4337932755. Its totient is φ = 649600000.

The previous prime is 1681999999. The next prime is 1682000017. The reversal of 1682000000 is 2861.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 11 ways, for example, as 1445824576 + 236175424 = 38024^2 + 15368^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=29000.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 57999986 + ... + 58000014.

Almost surely, 2^1682000000 is an apocalyptic number.

1682000000 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 1682000000

1682000000 is an abundant number, since it is smaller than the sum of its proper divisors (2655932755).

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

1682000000 is an frugal number, since it uses more digits than its factorization.

1682000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1682000000 is about 41012.1933088198. The cubic root of 1682000000 is about 1189.2559433155.

Adding to 1682000000 its reverse (2861), we get a palindrome (1682002861).

The spelling of 1682000000 in words is "one billion, six hundred eighty-two million", and thus it is an aban number.