7436160 has 96 divisors (see below), whose sum is σ = 25697880. Its totient is φ = 1981440.

The previous prime is 7436147. The next prime is 7436161. The reversal of 7436160 is 616347.

7436160 is a `hidden beast` number, since 7 + 43 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7436161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5115 + ... + 6405.

Almost surely, 2^7436160 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 7436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12848940).

7436160 is an abundant number, since it is smaller than the sum of its proper divisors (18261720).

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

7436160 is a wasteful number, since it uses less digits than its factorization.

7436160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 7436160 is about 2726.9323423950. The cubic root of 7436160 is about 195.1864095169.

It can be divided in two parts, 743 and 6160, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 7436160 in words is "seven million, four hundred thirty-six thousand, one hundred sixty".