7164160 has 72 divisors (see below), whose sum is σ = 17844120. Its totient is φ = 2752512.

The previous prime is 7164151. The next prime is 7164167. The reversal of 7164160 is 614617.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 278784 + 6885376 = 528^2 + 2624^2 .

It is not an unprimeable number, because it can be changed into a prime (7164167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37024 + ... + 37216.

It is an arithmetic number, because the mean of its divisors is an integer number (247835).

Almost surely, 2^7164160 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 7164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8922060).

7164160 is an abundant number, since it is smaller than the sum of its proper divisors (10679960).

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

7164160 is a wasteful number, since it uses less digits than its factorization.

7164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 7164160 is about 2676.5948516726. The cubic root of 7164160 is about 192.7769443801.

Adding to 7164160 its reverse (614617), we get a palindrome (7778777).

The spelling of 7164160 in words is "seven million, one hundred sixty-four thousand, one hundred sixty".