7518160 has 40 divisors (see below), whose sum is σ = 18826920. Its totient is φ = 2775552.

The previous prime is 7518157. The next prime is 7518169. The reversal of 7518160 is 618157.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1700416 + 5817744 = 1304^2 + 2412^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7518169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2575 + ... + 4654.

It is an arithmetic number, because the mean of its divisors is an integer number (470673).

Almost surely, 2^7518160 is an apocalyptic number.

It is an amenable number.

7518160 is an abundant number, since it is smaller than the sum of its proper divisors (11308760).

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

7518160 is a wasteful number, since it uses less digits than its factorization.

7518160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7255 (or 7249 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 7518160 is about 2741.9263301555. The cubic root of 7518160 is about 195.9012413755.

It can be divided in two parts, 751 and 8160, that added together give a triangular number (8911 = T₁₃₃).

The spelling of 7518160 in words is "seven million, five hundred eighteen thousand, one hundred sixty".