1682104320 has 504 divisors, whose sum is σ = 6547826376. Its totient is φ = 414056448.

The previous prime is 1682104309. The next prime is 1682104343. The reversal of 1682104320 is 234012861.

1682104320 is a `hidden beast` number, since 16 + 8 + 210 + 432 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 129392634 + ... + 129392646.

It is an arithmetic number, because the mean of its divisors is an integer number (12991719).

Almost surely, 2^1682104320 is an apocalyptic number.

1682104320 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 1682104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273913188).

1682104320 is an abundant number, since it is smaller than the sum of its proper divisors (4865722056).

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

1682104320 is an frugal number, since it uses more digits than its factorization.

1682104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1682104320 is about 41013.4651059868. The cubic root of 1682104320 is about 1189.2805292480.

The spelling of 1682104320 in words is "one billion, six hundred eighty-two million, one hundred four thousand, three hundred twenty".