1683682100 has 36 divisors (see below), whose sum is σ = 3665184684. Its totient is φ = 671335680.

The previous prime is 1683682073. The next prime is 1683682109. The reversal of 1683682100 is 12863861.

It can be written as a sum of positive squares in 6 ways, for example, as 272778256 + 1410903844 = 16516^2 + 37562^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683682109) 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, 5144 + ... + 58256.

Almost surely, 2^1683682100 is an apocalyptic number.

1683682100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1683682100 is an abundant number, since it is smaller than the sum of its proper divisors (1981502584).

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

1683682100 is a wasteful number, since it uses less digits than its factorization.

1683682100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53444 (or 53437 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 1683682100 is about 41032.6955000522. The cubic root of 1683682100 is about 1189.6522534497.

The spelling of 1683682100 in words is "one billion, six hundred eighty-three million, six hundred eighty-two thousand, one hundred".