1685386080 has 288 divisors, whose sum is σ = 6683197248. Its totient is φ = 378777600.

The previous prime is 1685386037. The next prime is 1685386093. The reversal of 1685386080 is 806835861.

1685386080 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 38 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613510 + ... + 616250.

It is an arithmetic number, because the mean of its divisors is an integer number (23205546).

Almost surely, 2^1685386080 is an apocalyptic number.

1685386080 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 1685386080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341598624).

1685386080 is an abundant number, since it is smaller than the sum of its proper divisors (4997811168).

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

1685386080 is a wasteful number, since it uses less digits than its factorization.

1685386080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1685386080 is about 41053.4539350832. The cubic root of 1685386080 is about 1190.0534495683.

The spelling of 1685386080 in words is "one billion, six hundred eighty-five million, three hundred eighty-six thousand, eighty".