6823440 has 180 divisors, whose sum is σ = 25625964. Its totient is φ = 1679616.

The previous prime is 6823423. The next prime is 6823447. The reversal of 6823440 is 443286.

It can be written as a sum of positive squares in 2 ways, for example, as 1679616 + 5143824 = 1296^2 + 2268^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6823447) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 524874 + ... + 524886.

Almost surely, 2^6823440 is an apocalyptic number.

6823440 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 6823440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12812982).

6823440 is an abundant number, since it is smaller than the sum of its proper divisors (18802524).

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

6823440 is an equidigital number, since it uses as much as digits as its factorization.

6823440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 6823440 is about 2612.1715104487. The cubic root of 6823440 is about 189.6710837453.

The spelling of 6823440 in words is "six million, eight hundred twenty-three thousand, four hundred forty".