1683625824 has 120 divisors (see below), whose sum is σ = 4988186280. Its totient is φ = 557051904.

The previous prime is 1683625817. The next prime is 1683625871. The reversal of 1683625824 is 4285263861.

1683625824 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 62 + 582 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1683625824.

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 19 ways as a sum of consecutive naturals, for example, 357952 + ... + 362624.

It is an arithmetic number, because the mean of its divisors is an integer number (41568219).

Almost surely, 2^1683625824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1683625824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494093140).

1683625824 is an abundant number, since it is smaller than the sum of its proper divisors (3304560456).

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

1683625824 is a wasteful number, since it uses less digits than its factorization.

1683625824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4834 (or 4817 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 1683625824 is about 41032.0097484878. The cubic root of 1683625824 is about 1189.6389988462.

The spelling of 1683625824 in words is "one billion, six hundred eighty-three million, six hundred twenty-five thousand, eight hundred twenty-four".