6675840 has 192 divisors, whose sum is σ = 24663600. Its totient is φ = 1658880.

The previous prime is 6675839. The next prime is 6675857. The reversal of 6675840 is 485766.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6675795 and 6675804.

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 23 ways as a sum of consecutive naturals, for example, 109410 + ... + 109470.

Almost surely, 2^6675840 is an apocalyptic number.

6675840 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 6675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12331800).

6675840 is an abundant number, since it is smaller than the sum of its proper divisors (17987760).

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

6675840 is a wasteful number, since it uses less digits than its factorization.

6675840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6675840 is about 2583.7646951687. The cubic root of 6675840 is about 188.2934905840.

The spelling of 6675840 in words is "six million, six hundred seventy-five thousand, eight hundred forty".