6573984 has 72 divisors (see below), whose sum is σ = 18200448. Its totient is φ = 2075520.

The previous prime is 6573979. The next prime is 6573997. The reversal of 6573984 is 4893756.

It is a happy number.

It is a d-powerful number, because it can be written as 6⁶ + 5³ + 7⁶ + 3¹⁰ + 9⁵ + 8⁷ + 4¹¹ .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139849 + ... + 139895.

It is an arithmetic number, because the mean of its divisors is an integer number (252784).

Almost surely, 2^6573984 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 6573984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9100224).

6573984 is an abundant number, since it is smaller than the sum of its proper divisors (11626464).

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

6573984 is a wasteful number, since it uses less digits than its factorization.

6573984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 83 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 6573984 is about 2563.9781590333. The cubic root of 6573984 is about 187.3309551952.

It can be divided in two parts, 6573 and 984, that added together give a palindrome (7557).

The spelling of 6573984 in words is "six million, five hundred seventy-three thousand, nine hundred eighty-four".