849960 has 64 divisors (see below), whose sum is σ = 2836800. Its totient is φ = 226368.

The previous prime is 849943. The next prime is 849967. The reversal of 849960 is 69948.

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 (849967) by changing a digit.

849960 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 15 ways as a sum of consecutive naturals, for example, 687 + ... + 1473.

It is an arithmetic number, because the mean of its divisors is an integer number (44325).

2⁸⁴⁹⁹⁶⁰ 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 849960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418400).

849960 is an abundant number, since it is smaller than the sum of its proper divisors (1986840).

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

849960 is a wasteful number, since it uses less digits than its factorization.

849960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 849960 is about 921.9327524283. The cubic root of 849960 is about 94.7253377843.

The spelling of 849960 in words is "eight hundred forty-nine thousand, nine hundred sixty".