917664 has 72 divisors (see below), whose sum is σ = 2681280. Its totient is φ = 274560.

The previous prime is 917659. The next prime is 917669. The reversal of 917664 is 466719.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (917659) and next prime (917669).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 917664.

It is not an unprimeable number, because it can be changed into a prime (917669) by changing a digit.

917664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11577 + ... + 11655.

It is an arithmetic number, because the mean of its divisors is an integer number (37240).

2⁹¹⁷⁶⁶⁴ 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 917664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340640).

917664 is an abundant number, since it is smaller than the sum of its proper divisors (1763616).

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

917664 is a wasteful number, since it uses less digits than its factorization.

917664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 95 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 917664 is about 957.9478065114. The cubic root of 917664 is about 97.1764951887.

The spelling of 917664 in words is "nine hundred seventeen thousand, six hundred sixty-four".