1685180420 has 192 divisors, whose sum is σ = 4755179520. Its totient is φ = 485529600.

The previous prime is 1685180411. The next prime is 1685180443. The reversal of 1685180420 is 240815861.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 63 ways as a sum of consecutive naturals, for example, 1544075 + ... + 1545165.

It is an arithmetic number, because the mean of its divisors is an integer number (24766560).

Almost surely, 2^1685180420 is an apocalyptic number.

1685180420 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 1685180420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377589760).

1685180420 is an abundant number, since it is smaller than the sum of its proper divisors (3069999100).

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

1685180420 is a wasteful number, since it uses less digits than its factorization.

1685180420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 1685180420 is about 41050.9490755086. The cubic root of 1685180420 is about 1190.0050419954.

The spelling of 1685180420 in words is "one billion, six hundred eighty-five million, one hundred eighty thousand, four hundred twenty".