1682973456 has 40 divisors (see below), whose sum is σ = 4361610720. Its totient is φ = 559193856.

The previous prime is 1682973449. The next prime is 1682973473. The reversal of 1682973456 is 6543792861.

It is a junction number, because it is equal to n+sod(n) for n = 1682973399 and 1682973408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40986 + ... + 71033.

It is an arithmetic number, because the mean of its divisors is an integer number (109040268).

Almost surely, 2^1682973456 is an apocalyptic number.

1682973456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1682973456 is an abundant number, since it is smaller than the sum of its proper divisors (2678637264).

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

1682973456 is a wasteful number, since it uses less digits than its factorization.

1682973456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112343 (or 112337 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The square root of 1682973456 is about 41024.0594773360. The cubic root of 1682973456 is about 1189.4853260084.

The spelling of 1682973456 in words is "one billion, six hundred eighty-two million, nine hundred seventy-three thousand, four hundred fifty-six".