1682845800 has 96 divisors (see below), whose sum is σ = 5223415680. Its totient is φ = 448192000.

The previous prime is 1682845799. The next prime is 1682845811. The reversal of 1682845800 is 85482861.

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, 714625 + ... + 716975.

It is an arithmetic number, because the mean of its divisors is an integer number (54410580).

Almost surely, 2^1682845800 is an apocalyptic number.

1682845800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1682845800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611707840).

1682845800 is an abundant number, since it is smaller than the sum of its proper divisors (3540569880).

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

1682845800 is a wasteful number, since it uses less digits than its factorization.

1682845800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3563 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 1682845800 is about 41022.5035803521. The cubic root of 1682845800 is about 1189.4552505136.

The spelling of 1682845800 in words is "one billion, six hundred eighty-two million, eight hundred forty-five thousand, eight hundred".