849888 has 72 divisors (see below), whose sum is σ = 2614248. Its totient is φ = 260352.

The previous prime is 849883. The next prime is 849917. The reversal of 849888 is 888948.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×849888² = 1444619225088, which contains 22 as substring.

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

Its product of digits (147456) is a multiple of the sum of its prime factors (256).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 849888.

It is not an unprimeable number, because it can be changed into a prime (849883) by changing a digit.

849888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3631 + ... + 3857.

It is an arithmetic number, because the mean of its divisors is an integer number (36309).

2⁸⁴⁹⁸⁸⁸ 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 849888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307124).

849888 is an abundant number, since it is smaller than the sum of its proper divisors (1764360).

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

849888 is a wasteful number, since it uses less digits than its factorization.

849888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 245 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 849888 is about 921.8937032001. The cubic root of 849888 is about 94.7226629852.

Subtracting 849888 from its reverse (888948), we obtain a triangular number (39060 = T₂₇₉).

The spelling of 849888 in words is "eight hundred forty-nine thousand, eight hundred eighty-eight".