7164960 has 192 divisors, whose sum is σ = 26127360. Its totient is φ = 1633280.

The previous prime is 7164953. The next prime is 7165003. The reversal of 7164960 is 694617.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121411 + ... + 121469.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

Almost surely, 2^7164960 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 7164960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063680).

7164960 is an abundant number, since it is smaller than the sum of its proper divisors (18962400).

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

7164960 is a wasteful number, since it uses less digits than its factorization.

7164960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 7164960 is about 2676.7442911119. The cubic root of 7164960 is about 192.7841197184.

The spelling of 7164960 in words is "seven million, one hundred sixty-four thousand, nine hundred sixty".