916884324 has 72 divisors (see below), whose sum is σ = 2459260440. Its totient is φ = 287035392.

The previous prime is 916884299. The next prime is 916884343. The reversal of 916884324 is 423488619.

It is a happy number.

916884324 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 4 ways, for example, as 26936100 + 889948224 = 5190^2 + 29832^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 916884324.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346912 + ... + 349544.

It is an arithmetic number, because the mean of its divisors is an integer number (34156395).

It is the magic constant of a 1224 × 1224 magic square.

Almost surely, 2^916884324 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 916884324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229630220).

916884324 is an abundant number, since it is smaller than the sum of its proper divisors (1542376116).

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

916884324 is a wasteful number, since it uses less digits than its factorization.

916884324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229 (or 3224 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 916884324 is about 30280.0978201855. The cubic root of 916884324 is about 971.4896599539.

The spelling of 916884324 in words is "nine hundred sixteen million, eight hundred eighty-four thousand, three hundred twenty-four".