1683853920 has 576 divisors, whose sum is σ = 7132769280. Its totient is φ = 366778368.

The previous prime is 1683853903. The next prime is 1683853931. The reversal of 1683853920 is 293583861.

It is a happy number.

1683853920 is a `hidden beast` number, since 1 + 68 + 38 + 539 + 20 = 666.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6259546 + ... + 6259814.

It is an arithmetic number, because the mean of its divisors is an integer number (12383280).

Almost surely, 2^1683853920 is an apocalyptic number.

1683853920 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 1683853920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566384640).

1683853920 is an abundant number, since it is smaller than the sum of its proper divisors (5448915360).

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

1683853920 is a wasteful number, since it uses less digits than its factorization.

1683853920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1683853920 is about 41034.7891428724. The cubic root of 1683853920 is about 1189.6927201343.

The spelling of 1683853920 in words is "one billion, six hundred eighty-three million, eight hundred fifty-three thousand, nine hundred twenty".