1682900900 has 18 divisors (see below), whose sum is σ = 3651895170. Its totient is φ = 673160320.

The previous prime is 1682900893. The next prime is 1682900903. The reversal of 1682900900 is 90092861.

It can be written as a sum of positive squares in 3 ways, for example, as 11235904 + 1671664996 = 3352^2 + 40886^2 .

It is not an unprimeable number, because it can be changed into a prime (1682900903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8414405 + ... + 8414604.

It is an arithmetic number, because the mean of its divisors is an integer number (202883065).

Almost surely, 2^1682900900 is an apocalyptic number.

1682900900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1682900900 is an abundant number, since it is smaller than the sum of its proper divisors (1968994270).

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

1682900900 is a wasteful number, since it uses less digits than its factorization.

1682900900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16829023 (or 16829016 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 1682900900 is about 41023.1751574643. The cubic root of 1682900900 is about 1189.4682321485.

The spelling of 1682900900 in words is "one billion, six hundred eighty-two million, nine hundred thousand, nine hundred".