1684616472 has 288 divisors, whose sum is σ = 5870854080. Its totient is φ = 431464320.

The previous prime is 1684616459. The next prime is 1684616489. The reversal of 1684616472 is 2746164861.

1684616472 is a `hidden beast` number, since 1 + 68 + 461 + 64 + 72 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 3220803 + ... + 3221325.

It is an arithmetic number, because the mean of its divisors is an integer number (20384910).

Almost surely, 2^1684616472 is an apocalyptic number.

1684616472 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 1684616472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935427040).

1684616472 is an abundant number, since it is smaller than the sum of its proper divisors (4186237608).

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

1684616472 is a wasteful number, since it uses less digits than its factorization.

1684616472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 629 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 1684616472 is about 41044.0796217920. The cubic root of 1684616472 is about 1189.8722815640.

The spelling of 1684616472 in words is "one billion, six hundred eighty-four million, six hundred sixteen thousand, four hundred seventy-two".