1682321280 has 128 divisors (see below), whose sum is σ = 5453654400. Its totient is φ = 440985600.

The previous prime is 1682321261. The next prime is 1682321327. The reversal of 1682321280 is 821232861.

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

It is a congruent number.

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, 105855 + ... + 120705.

It is an arithmetic number, because the mean of its divisors is an integer number (42606675).

Almost surely, 2^1682321280 is an apocalyptic number.

1682321280 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 1682321280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726827200).

1682321280 is an abundant number, since it is smaller than the sum of its proper divisors (3771333120).

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

1682321280 is a wasteful number, since it uses less digits than its factorization.

1682321280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14932 (or 14920 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1682321280 is about 41016.1100057039. The cubic root of 1682321280 is about 1189.3316586989.

The spelling of 1682321280 in words is "one billion, six hundred eighty-two million, three hundred twenty-one thousand, two hundred eighty".