6810960 has 160 divisors (see below), whose sum is σ = 23748480. Its totient is φ = 1603584.

The previous prime is 6810943. The next prime is 6810983. The reversal of 6810960 is 690186.

It is a super-2 number, since 2×6810960² = 92778352243200, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115411 + ... + 115469.

It is an arithmetic number, because the mean of its divisors is an integer number (148428).

Almost surely, 2^6810960 is an apocalyptic number.

6810960 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 6810960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11874240).

6810960 is an abundant number, since it is smaller than the sum of its proper divisors (16937520).

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

6810960 is a wasteful number, since it uses less digits than its factorization.

6810960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 6810960 is about 2609.7816000578. The cubic root of 6810960 is about 189.5553777024. Note that the first 3 decimals are identical.

The spelling of 6810960 in words is "six million, eight hundred ten thousand, nine hundred sixty".