1682080900 has 36 divisors (see below), whose sum is σ = 3670546320. Its totient is φ = 669066400.

The previous prime is 1682080879. The next prime is 1682080909. The reversal of 1682080900 is 90802861.

It is not an unprimeable number, because it can be changed into a prime (1682080909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29086 + ... + 64885.

It is an arithmetic number, because the mean of its divisors is an integer number (101959620).

Almost surely, 2^1682080900 is an apocalyptic number.

1682080900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1682080900 is an abundant number, since it is smaller than the sum of its proper divisors (1988465420).

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

1682080900 is a wasteful number, since it uses less digits than its factorization.

1682080900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94164 (or 94157 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 1682080900 is about 41013.1795890053. The cubic root of 1682080900 is about 1189.2750097569.

The spelling of 1682080900 in words is "one billion, six hundred eighty-two million, eighty thousand, nine hundred".