1684509372 has 480 divisors, whose sum is σ = 5949870080. Its totient is φ = 403107840.

The previous prime is 1684509349. The next prime is 1684509401. The reversal of 1684509372 is 2739054861.

1684509372 is a `hidden beast` number, since 168 + 450 + 9 + 37 + 2 = 666.

1684509372 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1684509372 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17366028 + ... + 17366124.

It is a 1-persistent number, because it is pandigital, but 2⋅1684509372 = 3369018744 is not.

Almost surely, 2^1684509372 is an apocalyptic number.

1684509372 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 1684509372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974935040).

1684509372 is an abundant number, since it is smaller than the sum of its proper divisors (4265360708).

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

1684509372 is a wasteful number, since it uses less digits than its factorization.

1684509372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1684509372 is about 41042.7749061878. The cubic root of 1684509372 is about 1189.8470655333.

The spelling of 1684509372 in words is "one billion, six hundred eighty-four million, five hundred nine thousand, three hundred seventy-two".