884752 has 30 divisors (see below), whose sum is σ = 1888334. Its totient is φ = 401280.

The previous prime is 884743. The next prime is 884789. The reversal of 884752 is 257488.

It can be written as a sum of positive squares in only one way, i.e., 853776 + 30976 = 924^2 + 176^2 .

It is a super-2 number, since 2×884752² = 1565572203008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

884752 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1708 + ... + 2164.

2⁸⁸⁴⁷⁵² 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 884752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944167).

884752 is an abundant number, since it is smaller than the sum of its proper divisors (1003582).

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

884752 is a wasteful number, since it uses less digits than its factorization.

884752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 470 counting only the distinct ones).

The product of its digits is 17920, while the sum is 34.

The square root of 884752 is about 940.6125663630. The cubic root of 884752 is about 96.0005787002. Note that the first 3 decimals are identical.

Subtracting from 884752 its reverse (257488), we obtain a square (627264 = 792²).

The spelling of 884752 in words is "eight hundred eighty-four thousand, seven hundred fifty-two".