6849120 has 96 divisors (see below), whose sum is σ = 22740480. Its totient is φ = 1728000.

The previous prime is 6849119. The next prime is 6849131. The reversal of 6849120 is 219486.

It is a tau number, because it is divible by the number of its divisors (96).

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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8745 + ... + 9495.

It is an arithmetic number, because the mean of its divisors is an integer number (236880).

Almost surely, 2^6849120 is an apocalyptic number.

6849120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6849120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11370240).

6849120 is an abundant number, since it is smaller than the sum of its proper divisors (15891360).

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

6849120 is a wasteful number, since it uses less digits than its factorization.

6849120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 6849120 is about 2617.0823449024. The cubic root of 6849120 is about 189.9087280918.

The spelling of 6849120 in words is "six million, eight hundred forty-nine thousand, one hundred twenty".