1683872641 has 16 divisors (see below), whose sum is σ = 1853100288. Its totient is φ = 1517389200.

The previous prime is 1683872639. The next prime is 1683872651. The reversal of 1683872641 is 1462783861.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1683872641 - 2¹ = 1683872639 is a prime.

It is a super-2 number, since 2×1683872641² = 5670854142216629762, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1683872591 and 1683872600.

It is not an unprimeable number, because it can be changed into a prime (1683872621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 836326 + ... + 838336.

It is an arithmetic number, because the mean of its divisors is an integer number (115818768).

Almost surely, 2^1683872641 is an apocalyptic number.

1683872641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1683872641 is a deficient number, since it is larger than the sum of its proper divisors (169227647).

1683872641 is a wasteful number, since it uses less digits than its factorization.

1683872641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652.

The product of its digits is 387072, while the sum is 46.

The square root of 1683872641 is about 41035.0172535604. The cubic root of 1683872641 is about 1189.6971290984.

The spelling of 1683872641 in words is "one billion, six hundred eighty-three million, eight hundred seventy-two thousand, six hundred forty-one".