884416 has 28 divisors (see below), whose sum is σ = 1891792. Its totient is φ = 407808.

The previous prime is 884371. The next prime is 884417. The reversal of 884416 is 614488.

It is a super-2 number, since 2×884416² = 1564383322112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (884417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 301 + ... + 1363.

It is an arithmetic number, because the mean of its divisors is an integer number (67564).

2⁸⁸⁴⁴¹⁶ 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 884416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945896).

884416 is an abundant number, since it is smaller than the sum of its proper divisors (1007376).

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

884416 is a wasteful number, since it uses less digits than its factorization.

884416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1078 counting only the distinct ones).

The product of its digits is 6144, while the sum is 31.

The square root of 884416 is about 940.4339423904. The cubic root of 884416 is about 95.9884245302.

The spelling of 884416 in words is "eight hundred eighty-four thousand, four hundred sixteen".