849361344 has 224 divisors, whose sum is σ = 2636617536. Its totient is φ = 238878720.

The previous prime is 849361339. The next prime is 849361369. The reversal of 849361344 is 443163948.

It is a junction number, because it is equal to n+sod(n) for n = 849361296 and 849361305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1569714 + ... + 1570254.

It is an arithmetic number, because the mean of its divisors is an integer number (11770614).

Almost surely, 2^849361344 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 849361344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318308768).

849361344 is an abundant number, since it is smaller than the sum of its proper divisors (1787256192).

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

849361344 is a wasteful number, since it uses less digits than its factorization.

849361344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 613 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 849361344 is about 29143.8045560287. The cubic root of 849361344 is about 947.0309312544.

The spelling of 849361344 in words is "eight hundred forty-nine million, three hundred sixty-one thousand, three hundred forty-four".