6822960 has 40 divisors (see below), whose sum is σ = 21151920. Its totient is φ = 1819392.

The previous prime is 6822953. The next prime is 6822971. The reversal of 6822960 is 692286.

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

It is a super-3 number, since 3×6822960³ (a number of 21 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13975 + ... + 14454.

It is an arithmetic number, because the mean of its divisors is an integer number (528798).

Almost surely, 2^6822960 is an apocalyptic number.

6822960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6822960 is an abundant number, since it is smaller than the sum of its proper divisors (14328960).

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

6822960 is a wasteful number, since it uses less digits than its factorization.

6822960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28445 (or 28439 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 6822960 is about 2612.0796312517. The cubic root of 6822960 is about 189.6666361229. Note that the first 4 decimals are identical.

The spelling of 6822960 in words is "six million, eight hundred twenty-two thousand, nine hundred sixty".