1683132704 has 48 divisors (see below), whose sum is σ = 3635241120. Its totient is φ = 760757760.

The previous prime is 1683132643. The next prime is 1683132767. The reversal of 1683132704 is 4072313861.

It is a super-3 number, since 3×1683132704³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49652 + ... + 76364.

It is an arithmetic number, because the mean of its divisors is an integer number (75734190).

Almost surely, 2^1683132704 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 1683132704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817620560).

1683132704 is an abundant number, since it is smaller than the sum of its proper divisors (1952108416).

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

1683132704 is a wasteful number, since it uses less digits than its factorization.

1683132704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26913 (or 26905 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 1683132704 is about 41026.0003412470. Note that the first 3 decimals coincide. The cubic root of 1683132704 is about 1189.5228423824.

The spelling of 1683132704 in words is "one billion, six hundred eighty-three million, one hundred thirty-two thousand, seven hundred four".