7644160 has 44 divisors (see below), whose sum is σ = 18349308. Its totient is φ = 3055616.

The previous prime is 7644157. The next prime is 7644167. The reversal of 7644160 is 614467.

7644160 is nontrivially palindromic in base 15.

7644160 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4875264 + 2768896 = 2208^2 + 1664^2 .

It is not an unprimeable number, because it can be changed into a prime (7644167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4374 + ... + 5866.

Almost surely, 2^7644160 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 7644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9174654).

7644160 is an abundant number, since it is smaller than the sum of its proper divisors (10705148).

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

7644160 is a wasteful number, since it uses less digits than its factorization.

7644160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 7644160 is about 2764.8074073975. The cubic root of 7644160 is about 196.9895809034.

The spelling of 7644160 in words is "seven million, six hundred forty-four thousand, one hundred sixty".