1682829568 has 72 divisors (see below), whose sum is σ = 3854329920. Its totient is φ = 718325760.

The previous prime is 1682829559. The next prime is 1682829571. The reversal of 1682829568 is 8659282861.

It is a happy number.

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, 480303 + ... + 483793.

It is an arithmetic number, because the mean of its divisors is an integer number (53532360).

Almost surely, 2^1682829568 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 1682829568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927164960).

1682829568 is an abundant number, since it is smaller than the sum of its proper divisors (2171500352).

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

1682829568 is an equidigital number, since it uses as much as digits as its factorization.

1682829568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3783 (or 3769 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 55.

The square root of 1682829568 is about 41022.3057372450. The cubic root of 1682829568 is about 1189.4514261783.

The spelling of 1682829568 in words is "one billion, six hundred eighty-two million, eight hundred twenty-nine thousand, five hundred sixty-eight".