1682100018 has 48 divisors (see below), whose sum is σ = 3712596576. Its totient is φ = 550307520.

The previous prime is 1682099977. The next prime is 1682100019. The reversal of 1682100018 is 8100012861.

It is a junction number, because it is equal to n+sod(n) for n = 1682099964 and 1682100000.

It is not an unprimeable number, because it can be changed into a prime (1682100019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274221 + ... + 280287.

It is an arithmetic number, because the mean of its divisors is an integer number (77345762).

Almost surely, 2^1682100018 is an apocalyptic number.

1682100018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1682100018 is an abundant number, since it is smaller than the sum of its proper divisors (2030496558).

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

1682100018 is a wasteful number, since it uses less digits than its factorization.

1682100018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6359 (or 6356 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1682100018 is about 41013.4126597629. The cubic root of 1682100018 is about 1189.2795153812.

Adding to 1682100018 its reverse (8100012861), we get a palindrome (9782112879).

The spelling of 1682100018 in words is "one billion, six hundred eighty-two million, one hundred thousand, eighteen".