1640676105 has 24 divisors (see below), whose sum is σ = 2853981000. Its totient is φ = 871906560.

The previous prime is 1640676077. The next prime is 1640676119. The reversal of 1640676105 is 5016760461.

1640676105 is a `hidden beast` number, since 1 + 640 + 6 + 7 + 6 + 1 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 368755209 + 1271920896 = 19203^2 + 35664^2 .

It is not a de Polignac number, because 1640676105 - 2⁷ = 1640675977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1640676105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52230 + ... + 77519.

It is an arithmetic number, because the mean of its divisors is an integer number (118915875).

Almost surely, 2^1640676105 is an apocalyptic number.

1640676105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1640676105 is a deficient number, since it is larger than the sum of its proper divisors (1213304895).

1640676105 is a wasteful number, since it uses less digits than its factorization.

1640676105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130041 (or 130038 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1640676105 is about 40505.2602139525. The cubic root of 1640676105 is about 1179.4357411869.

The spelling of 1640676105 in words is "one billion, six hundred forty million, six hundred seventy-six thousand, one hundred five".