1682328720 has 80 divisors (see below), whose sum is σ = 5266930752. Its totient is φ = 444172800.

The previous prime is 1682328679. The next prime is 1682328731. The reversal of 1682328720 is 278232861.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10462 + ... + 58941.

Almost surely, 2^1682328720 is an apocalyptic number.

1682328720 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 1682328720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633465376).

1682328720 is an abundant number, since it is smaller than the sum of its proper divisors (3584602032).

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

1682328720 is a wasteful number, since it uses less digits than its factorization.

1682328720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69520 (or 69514 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 1682328720 is about 41016.2007016740. The cubic root of 1682328720 is about 1189.3334119539. Note that the first 3 decimals are identical.

The spelling of 1682328720 in words is "one billion, six hundred eighty-two million, three hundred twenty-eight thousand, seven hundred twenty".