1682809344 has 100 divisors (see below), whose sum is σ = 5022866574. Its totient is φ = 560922624.

The previous prime is 1682809133. The next prime is 1682809357. The reversal of 1682809344 is 4439082861.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1348358400 + 334450944 = 36720^2 + 18288^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1682809344.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 21184 + ... + 61760.

Almost surely, 2^1682809344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1682809344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511433287).

1682809344 is an abundant number, since it is smaller than the sum of its proper divisors (3340057230).

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

1682809344 is an frugal number, since it uses more digits than its factorization.

1682809344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40607 (or 40582 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 1682809344 is about 41022.0592364645. The cubic root of 1682809344 is about 1189.4466612747.

The spelling of 1682809344 in words is "one billion, six hundred eighty-two million, eight hundred nine thousand, three hundred forty-four".