916884 has 18 divisors (see below), whose sum is σ = 2317770. Its totient is φ = 305616.

The previous prime is 916879. The next prime is 916907. The reversal of 916884 is 488619.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 864900 + 51984 = 930^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) 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 (36), and also a Moran number because the ratio is a prime number: 25469 = 916884 / (9 + 1 + 6 + 8 + 8 + 4).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 916884.

It is an unprimeable number.

916884 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 (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12699 + ... + 12770.

It is an arithmetic number, because the mean of its divisors is an integer number (128765).

2⁹¹⁶⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

916884 is an abundant number, since it is smaller than the sum of its proper divisors (1400886).

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

916884 is a wasteful number, since it uses less digits than its factorization.

916884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25479 (or 25474 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 916884 is about 957.5405996614. The cubic root of 916884 is about 97.1489545522.

The spelling of 916884 in words is "nine hundred sixteen thousand, eight hundred eighty-four".