1683584052 has 48 divisors (see below), whose sum is σ = 4169535552. Its totient is φ = 526901760.

The previous prime is 1683584051. The next prime is 1683584083. The reversal of 1683584052 is 2504853861.

It is a junction number, because it is equal to n+sod(n) for n = 1683583995 and 1683584013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683584051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76083 + ... + 95685.

It is an arithmetic number, because the mean of its divisors is an integer number (86865324).

Almost surely, 2^1683584052 is an apocalyptic number.

1683584052 is a gapful number since it is divisible by the number (12) 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 1683584052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084767776).

1683584052 is an abundant number, since it is smaller than the sum of its proper divisors (2485951500).

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

1683584052 is a wasteful number, since it uses less digits than its factorization.

1683584052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20048 (or 20046 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 1683584052 is about 41031.5007280991. The cubic root of 1683584052 is about 1189.6291601574.

The spelling of 1683584052 in words is "one billion, six hundred eighty-three million, five hundred eighty-four thousand, fifty-two".