884880 has 60 divisors (see below), whose sum is σ = 2974140. Its totient is φ = 235776.

The previous prime is 884857. The next prime is 884881. The reversal of 884880 is 88488.

It can be written as a sum of positive squares in 2 ways, for example, as 665856 + 219024 = 816^2 + 468^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×884880² = 1566025228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (884881) 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, 106 + ... + 1334.

It is an arithmetic number, because the mean of its divisors is an integer number (49569).

2⁸⁸⁴⁸⁸⁰ is an apocalyptic number.

884880 is a gapful number since it is divisible by the number (80) 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 884880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487070).

884880 is an abundant number, since it is smaller than the sum of its proper divisors (2089260).

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

884880 is a wasteful number, since it uses less digits than its factorization.

884880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 884880 is about 940.6806046688. The cubic root of 884880 is about 96.0052080508.

It can be divided in two parts, 884 and 880, that added together give a square (1764 = 42²).

The spelling of 884880 in words is "eight hundred eighty-four thousand, eight hundred eighty".