1682430080 has 128 divisors (see below), whose sum is σ = 4168931760. Its totient is φ = 648806400.

The previous prime is 1682430077. The next prime is 1682430137. The reversal of 1682430080 is 800342861.

It can be written as a sum of positive squares in 8 ways, for example, as 480837184 + 1201592896 = 21928^2 + 34664^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2544950 + ... + 2545610.

Almost surely, 2^1682430080 is an apocalyptic number.

1682430080 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 1682430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084465880).

1682430080 is an abundant number, since it is smaller than the sum of its proper divisors (2486501680).

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

1682430080 is an equidigital number, since it uses as much as digits as its factorization.

1682430080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 1682430080 is about 41017.4362923867. The cubic root of 1682430080 is about 1189.3572971816.

The spelling of 1682430080 in words is "one billion, six hundred eighty-two million, four hundred thirty thousand, eighty".