7164000 has 144 divisors (see below), whose sum is σ = 25552800. Its totient is φ = 1900800.

The previous prime is 7163993. The next prime is 7164011. The reversal of 7164000 is 4617.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35901 + ... + 36099.

It is an arithmetic number, because the mean of its divisors is an integer number (177450).

Almost surely, 2^7164000 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 7164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12776400).

7164000 is an abundant number, since it is smaller than the sum of its proper divisors (18388800).

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

7164000 is a wasteful number, since it uses less digits than its factorization.

7164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 7164000 is about 2676.5649627835. The cubic root of 7164000 is about 192.7755092483.

Adding to 7164000 its reverse (4617), we get a palindrome (7168617).

The spelling of 7164000 in words is "seven million, one hundred sixty-four thousand".