7164384 has 48 divisors (see below), whose sum is σ = 19324368. Its totient is φ = 2322432.

The previous prime is 7164331. The next prime is 7164413. The reversal of 7164384 is 4834617.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2544 + ... + 4560.

It is an arithmetic number, because the mean of its divisors is an integer number (402591).

Almost surely, 2^7164384 is an apocalyptic number.

7164384 is a gapful number since it is divisible by the number (74) 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 7164384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9662184).

7164384 is an abundant number, since it is smaller than the sum of its proper divisors (12159984).

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

7164384 is a wasteful number, since it uses less digits than its factorization.

7164384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2059 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 7164384 is about 2676.6366955566. The cubic root of 7164384 is about 192.7789535287.

The spelling of 7164384 in words is "seven million, one hundred sixty-four thousand, three hundred eighty-four".