1683666336 has 96 divisors (see below), whose sum is σ = 4924136448. Its totient is φ = 499331840.

The previous prime is 1683666301. The next prime is 1683666359. The reversal of 1683666336 is 6336663861.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32671 + ... + 66593.

It is an arithmetic number, because the mean of its divisors is an integer number (51293088).

Almost surely, 2^1683666336 is an apocalyptic number.

1683666336 is a gapful number since it is divisible by the number (16) 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 1683666336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462068224).

1683666336 is an abundant number, since it is smaller than the sum of its proper divisors (3240470112).

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

1683666336 is a wasteful number, since it uses less digits than its factorization.

1683666336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33994 (or 33986 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 48.

The square root of 1683666336 is about 41032.5034088831. The cubic root of 1683666336 is about 1189.6485406077.

The spelling of 1683666336 in words is "one billion, six hundred eighty-three million, six hundred sixty-six thousand, three hundred thirty-six".