1685138176 has 108 divisors (see below), whose sum is σ = 3589950784. Its totient is φ = 788428800.

The previous prime is 1685138167. The next prime is 1685138219. The reversal of 1685138176 is 6718315861.

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 11 ways as a sum of consecutive naturals, for example, 27625186 + ... + 27625246.

Almost surely, 2^1685138176 is an apocalyptic number.

1685138176 is a gapful number since it is divisible by the number (16) 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 1685138176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794975392).

1685138176 is an abundant number, since it is smaller than the sum of its proper divisors (1904812608).

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

1685138176 is an frugal number, since it uses more digits than its factorization.

1685138176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 153 counting only the distinct ones).

The product of its digits is 241920, while the sum is 46.

The square root of 1685138176 is about 41050.4345409400. The cubic root of 1685138176 is about 1189.9950982544.

The spelling of 1685138176 in words is "one billion, six hundred eighty-five million, one hundred thirty-eight thousand, one hundred seventy-six".