849312 has 48 divisors (see below), whose sum is σ = 2479680. Its totient is φ = 282816.

The previous prime is 849311. The next prime is 849347. The reversal of 849312 is 213948.

849312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is one of the 548 Lynch-Bell numbers.

It is not an unprimeable number, because it can be changed into a prime (849311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373 + ... + 1355.

It is an arithmetic number, because the mean of its divisors is an integer number (51660).

2⁸⁴⁹³¹² 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 849312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239840).

849312 is an abundant number, since it is smaller than the sum of its proper divisors (1630368).

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

849312 is a wasteful number, since it uses less digits than its factorization.

849312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 988 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 849312 is about 921.5812498093. The cubic root of 849312 is about 94.7012591514.

The spelling of 849312 in words is "eight hundred forty-nine thousand, three hundred twelve".