916224 has 36 divisors (see below), whose sum is σ = 2440536. Its totient is φ = 305152.

The previous prime is 916219. The next prime is 916259. The reversal of 916224 is 422619.

916224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 916194 and 916203.

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, 172 + ... + 1364.

2⁹¹⁶²²⁴ is an apocalyptic number.

916224 is the 512-nd nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220268).

916224 is an abundant number, since it is smaller than the sum of its proper divisors (1524312).

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

916224 is a wasteful number, since it uses less digits than its factorization.

916224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1198 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 916224 is about 957.1959047133. The cubic root of 916224 is about 97.1256387344.

The spelling of 916224 in words is "nine hundred sixteen thousand, two hundred twenty-four".