1681972900 has 36 divisors (see below), whose sum is σ = 3656555028. Its totient is φ = 671559040.

The previous prime is 1681972847. The next prime is 1681972933. The reversal of 1681972900 is 92791861.

It can be written as a sum of positive squares in 6 ways, for example, as 399760036 + 1282212864 = 19994^2 + 35808^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40602 + ... + 70798.

It is an arithmetic number, because the mean of its divisors is an integer number (101570973).

Almost surely, 2^1681972900 is an apocalyptic number.

1681972900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1681972900 is an abundant number, since it is smaller than the sum of its proper divisors (1974582128).

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

1681972900 is a wasteful number, since it uses less digits than its factorization.

1681972900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30768 (or 30761 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 43.

The square root of 1681972900 is about 41011.8629179412. The cubic root of 1681972900 is about 1189.2495562745.

The spelling of 1681972900 in words is "one billion, six hundred eighty-one million, nine hundred seventy-two thousand, nine hundred".