916416 has 84 divisors (see below), whose sum is σ = 2760472. Its totient is φ = 290304.

The previous prime is 916411. The next prime is 916417. The reversal of 916416 is 614619.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 916416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (916411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21291 + ... + 21333.

2⁹¹⁶⁴¹⁶ is an apocalyptic number.

916416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380236).

916416 is an abundant number, since it is smaller than the sum of its proper divisors (1844056).

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

916416 is a wasteful number, since it uses less digits than its factorization.

916416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 85 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 916416 is about 957.2961924086. The cubic root of 916416 is about 97.1324226723.

It can be divided in two parts, 9164 and 16, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 916416 in words is "nine hundred sixteen thousand, four hundred sixteen".