6720384 has 128 divisors (see below), whose sum is σ = 20465280. Its totient is φ = 1935360.

The previous prime is 6720383. The next prime is 6720403. The reversal of 6720384 is 4830276.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6720384² = 90327122214912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6720383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156267 + ... + 156309.

It is an arithmetic number, because the mean of its divisors is an integer number (159885).

Almost surely, 2^6720384 is an apocalyptic number.

6720384 is a gapful number since it is divisible by the number (64) 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 6720384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10232640).

6720384 is an abundant number, since it is smaller than the sum of its proper divisors (13744896).

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

6720384 is a wasteful number, since it uses less digits than its factorization.

6720384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 6720384 is about 2592.3703439131. The cubic root of 6720384 is about 188.7113535777.

The spelling of 6720384 in words is "six million, seven hundred twenty thousand, three hundred eighty-four".