916096 has 32 divisors (see below), whose sum is σ = 1936980. Its totient is φ = 430080.

The previous prime is 916073. The next prime is 916099. The reversal of 916096 is 690619.

916096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 876096 + 40000 = 936^2 + 200^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (916099) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1966 + ... + 2386.

2⁹¹⁶⁰⁹⁶ 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 916096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968490).

916096 is an abundant number, since it is smaller than the sum of its proper divisors (1020884).

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

916096 is a wasteful number, since it uses less digits than its factorization.

916096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 916096 is about 957.1290404120. The cubic root of 916096 is about 97.1211155826.

The spelling of 916096 in words is "nine hundred sixteen thousand, ninety-six".