7440160 has 144 divisors (see below), whose sum is σ = 22321656. Its totient is φ = 2322432.

The previous prime is 7440151. The next prime is 7440163. The reversal of 7440160 is 610447.

7440160 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 4 ways, for example, as 4892944 + 2547216 = 2212^2 + 1596^2 .

It is a nialpdrome in base 14.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7440163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101884 + ... + 101956.

Almost surely, 2^7440160 is an apocalyptic number.

7440160 is a gapful number since it is divisible by the number (70) 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 7440160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11160828).

7440160 is an abundant number, since it is smaller than the sum of its proper divisors (14881496).

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

7440160 is a wasteful number, since it uses less digits than its factorization.

7440160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 7440160 is about 2727.6656686625. The cubic root of 7440160 is about 195.2214009502.

The spelling of 7440160 in words is "seven million, four hundred forty thousand, one hundred sixty".