1685134080 has 216 divisors, whose sum is σ = 6663619872. Its totient is φ = 385155072.

The previous prime is 1685134079. The next prime is 1685134127. The reversal of 1685134080 is 804315861.

1685134080 is a `hidden beast` number, since 1 + 68 + 513 + 4 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 70192 + ... + 91088.

It is an arithmetic number, because the mean of its divisors is an integer number (30850092).

Almost surely, 2^1685134080 is an apocalyptic number.

1685134080 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 1685134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3331809936).

1685134080 is an abundant number, since it is smaller than the sum of its proper divisors (4978485792).

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

1685134080 is a wasteful number, since it uses less digits than its factorization.

1685134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20931 (or 20914 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1685134080 is about 41050.3846510602. The cubic root of 1685134080 is about 1189.9941340953.

The spelling of 1685134080 in words is "one billion, six hundred eighty-five million, one hundred thirty-four thousand, eighty".