1640916100 has 36 divisors (see below), whose sum is σ = 3565147684. Its totient is φ = 655562880.

The previous prime is 1640916097. The next prime is 1640916181. The reversal of 1640916100 is 16190461.

It can be written as a sum of positive squares in 6 ways, for example, as 564157504 + 1076758596 = 23752^2 + 32814^2 .

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, 75682 + ... + 94918.

Almost surely, 2^1640916100 is an apocalyptic number.

1640916100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1640916100 is an abundant number, since it is smaller than the sum of its proper divisors (1924231584).

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

1640916100 is a wasteful number, since it uses less digits than its factorization.

1640916100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20104 (or 20097 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 1640916100 is about 40508.2226220801. Note that the first 3 decimals coincide. The cubic root of 1640916100 is about 1179.4932469268.

The spelling of 1640916100 in words is "one billion, six hundred forty million, nine hundred sixteen thousand, one hundred".