916168 has 32 divisors (see below), whose sum is σ = 1944000. Its totient is φ = 400960.

The previous prime is 916141. The next prime is 916169. The reversal of 916168 is 861619.

916168 = 6⁴ + 7⁴ + ... + 21⁴.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (916169) by changing a digit.

916168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2373 + ... + 2731.

It is an arithmetic number, because the mean of its divisors is an integer number (60750).

2⁹¹⁶¹⁶⁸ 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 916168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972000).

916168 is an abundant number, since it is smaller than the sum of its proper divisors (1027832).

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

916168 is a wasteful number, since it uses less digits than its factorization.

916168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 401 counting only the distinct ones).

The product of its digits is 2592, while the sum is 31.

The square root of 916168 is about 957.1666521562. The cubic root of 916168 is about 97.1236599073.

It can be divided in two parts, 9161 and 68, that added together give a palindrome (9229).

The spelling of 916168 in words is "nine hundred sixteen thousand, one hundred sixty-eight".