6852384 has 192 divisors, whose sum is σ = 25159680. Its totient is φ = 1762560.

The previous prime is 6852379. The next prime is 6852389. The reversal of 6852384 is 4832586.

6852384 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (6852379) and next prime (6852389).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 6⁶ + 8⁵ + 5⁹ + 2 + 3¹⁴ + 8⁵ + 4⁶ .

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6852389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66477 + ... + 66579.

It is an arithmetic number, because the mean of its divisors is an integer number (131040).

Almost surely, 2^6852384 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 6852384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579840).

6852384 is an abundant number, since it is smaller than the sum of its proper divisors (18307296).

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

6852384 is a wasteful number, since it uses less digits than its factorization.

6852384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 126 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 6852384 is about 2617.7058658298. The cubic root of 6852384 is about 189.9388907817.

The spelling of 6852384 in words is "six million, eight hundred fifty-two thousand, three hundred eighty-four".