6693840 has 100 divisors (see below), whose sum is σ = 23271204. Its totient is φ = 1783296.

The previous prime is 6693839. The next prime is 6693887. The reversal of 6693840 is 483966.

It can be written as a sum of positive squares in 2 ways, for example, as 4822416 + 1871424 = 2196^2 + 1368^2 .

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 = 6693795 and 6693804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5964 + ... + 6996.

Almost surely, 2^6693840 is an apocalyptic number.

6693840 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 6693840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11635602).

6693840 is an abundant number, since it is smaller than the sum of its proper divisors (16577364).

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

6693840 is a wasteful number, since it uses less digits than its factorization.

6693840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6693840 is about 2587.2456396717. The cubic root of 6693840 is about 188.4625699919.

It can be divided in two parts, 66 and 93840, that multiplied together give a triangular number (6193440 = T₃₅₁₉).

The spelling of 6693840 in words is "six million, six hundred ninety-three thousand, eight hundred forty".