9416160 has 144 divisors (see below), whose sum is σ = 34673184. Its totient is φ = 2313216.

The previous prime is 9416137. The next prime is 9416171. The reversal of 9416160 is 616149.

9416160 is a `hidden beast` number, since 9 + 41 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 18469 + ... + 18971.

It is an arithmetic number, because the mean of its divisors is an integer number (240786).

Almost surely, 2^9416160 is an apocalyptic number.

9416160 is a gapful number since it is divisible by the number (90) 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 9416160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17336592).

9416160 is an abundant number, since it is smaller than the sum of its proper divisors (25257024).

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

9416160 is a wasteful number, since it uses less digits than its factorization.

9416160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9416160 is about 3068.5762170753. The cubic root of 9416160 is about 211.1662997193.

The spelling of 9416160 in words is "nine million, four hundred sixteen thousand, one hundred sixty".