1684653984 has 192 divisors, whose sum is σ = 5337722880. Its totient is φ = 513838080.

The previous prime is 1684653979. The next prime is 1684654001. The reversal of 1684653984 is 4893564861.

1684653984 is a `hidden beast` number, since 1 + 68 + 46 + 539 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1684653984.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1425874 + ... + 1427054.

It is an arithmetic number, because the mean of its divisors is an integer number (27800640).

Almost surely, 2^1684653984 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 1684653984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668861440).

1684653984 is an abundant number, since it is smaller than the sum of its proper divisors (3653068896).

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

1684653984 is a wasteful number, since it uses less digits than its factorization.

1684653984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1326 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 1684653984 is about 41044.5365913662. The cubic root of 1684653984 is about 1189.8811132790.

The spelling of 1684653984 in words is "one billion, six hundred eighty-four million, six hundred fifty-three thousand, nine hundred eighty-four".