916896 has 24 divisors (see below), whose sum is σ = 2407104. Its totient is φ = 305600.

The previous prime is 916879. The next prime is 916907. The reversal of 916896 is 698619.

It is a tau number, because it is divible by the number of its divisors (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 916896.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4680 + ... + 4871.

It is an arithmetic number, because the mean of its divisors is an integer number (100296).

2⁹¹⁶⁸⁹⁶ is an apocalyptic number.

916896 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

916896 is an abundant number, since it is smaller than the sum of its proper divisors (1490208).

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

916896 is a wasteful number, since it uses less digits than its factorization.

916896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9564 (or 9556 counting only the distinct ones).

The product of its digits is 23328, while the sum is 39.

The square root of 916896 is about 957.5468656938. The cubic root of 916896 is about 97.1493783726.

The spelling of 916896 in words is "nine hundred sixteen thousand, eight hundred ninety-six".