1685930040 has 192 divisors, whose sum is σ = 5954457600. Its totient is φ = 412128000.

The previous prime is 1685930011. The next prime is 1685930063. The reversal of 1685930040 is 400395861.

1685930040 is a `hidden beast` number, since 1 + 68 + 593 + 0 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1685929977 and 1685930004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208065 + ... + 216015.

It is an arithmetic number, because the mean of its divisors is an integer number (31012800).

Almost surely, 2^1685930040 is an apocalyptic number.

1685930040 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 1685930040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977228800).

1685930040 is an abundant number, since it is smaller than the sum of its proper divisors (4268527560).

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

1685930040 is a wasteful number, since it uses less digits than its factorization.

1685930040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8018 (or 8011 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1685930040 is about 41060.0784217468. The cubic root of 1685930040 is about 1190.1814661004.

The spelling of 1685930040 in words is "one billion, six hundred eighty-five million, nine hundred thirty thousand, forty".