916384 has 24 divisors (see below), whose sum is σ = 2062368. Its totient is φ = 392640.

The previous prime is 916367. The next prime is 916387. The reversal of 916384 is 483619.

It is a super-3 number, since 3×916384³ = 2308626881333133312, which contains 333 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (916387) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1822 + ... + 2269.

It is an arithmetic number, because the mean of its divisors is an integer number (85932).

2⁹¹⁶³⁸⁴ is an apocalyptic number.

It is an amenable number.

916384 is an abundant number, since it is smaller than the sum of its proper divisors (1145984).

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

916384 is a wasteful number, since it uses less digits than its factorization.

916384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4108 (or 4100 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 916384 is about 957.2794785223. The cubic root of 916384 is about 97.1312920818.

It can be divided in two parts, 9 and 16384, that multiplied together give a square (147456 = 384²).

The spelling of 916384 in words is "nine hundred sixteen thousand, three hundred eighty-four".