916560 has 120 divisors (see below), whose sum is σ = 3288480. Its totient is φ = 228096.

The previous prime is 916537. The next prime is 916561. The reversal of 916560 is 65619.

916560 is a `hidden beast` number, since 9 + 1 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (916561) 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 23 ways as a sum of consecutive naturals, for example, 13647 + ... + 13713.

It is an arithmetic number, because the mean of its divisors is an integer number (27404).

2⁹¹⁶⁵⁶⁰ is an apocalyptic number.

916560 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 916560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644240).

916560 is an abundant number, since it is smaller than the sum of its proper divisors (2371920).

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

916560 is a wasteful number, since it uses less digits than its factorization.

916560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 916560 is about 957.3714012858. The cubic root of 916560 is about 97.1375100039.

The spelling of 916560 in words is "nine hundred sixteen thousand, five hundred sixty".