849772 has 48 divisors (see below), whose sum is σ = 1935360. Its totient is φ = 316800.

The previous prime is 849767. The next prime is 849773. The reversal of 849772 is 277948.

It is a happy number.

It is a super-2 number, since 2×849772² = 1444224903968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (849773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9504 + ... + 9592.

It is an arithmetic number, because the mean of its divisors is an integer number (40320).

2⁸⁴⁹⁷⁷² 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 849772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967680).

849772 is an abundant number, since it is smaller than the sum of its proper divisors (1085588).

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

849772 is a wasteful number, since it uses less digits than its factorization.

849772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 140 counting only the distinct ones).

The product of its digits is 28224, while the sum is 37.

The square root of 849772 is about 921.8307870754. The cubic root of 849772 is about 94.7183532687.

The spelling of 849772 in words is "eight hundred forty-nine thousand, seven hundred seventy-two".