849360 has 40 divisors (see below), whose sum is σ = 2633760. Its totient is φ = 226432.

The previous prime is 849353. The next prime is 849383. The reversal of 849360 is 63948.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 7 ways as a sum of consecutive naturals, for example, 1530 + ... + 2009.

It is an arithmetic number, because the mean of its divisors is an integer number (65844).

2⁸⁴⁹³⁶⁰ is an apocalyptic number.

849360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

849360 is an abundant number, since it is smaller than the sum of its proper divisors (1784400).

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

849360 is a wasteful number, since it uses less digits than its factorization.

849360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3555 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 849360 is about 921.6072916378. The cubic root of 849360 is about 94.7030431738.

The spelling of 849360 in words is "eight hundred forty-nine thousand, three hundred sixty".