6811440 has 80 divisors (see below), whose sum is σ = 21400416. Its totient is φ = 1792000.

The previous prime is 6811439. The next prime is 6811451. The reversal of 6811440 is 441186.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6811440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24100 + ... + 24380.

Almost surely, 2^6811440 is an apocalyptic number.

6811440 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 6811440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10700208).

6811440 is an abundant number, since it is smaller than the sum of its proper divisors (14588976).

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

6811440 is a wasteful number, since it uses less digits than its factorization.

6811440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 6811440 is about 2609.8735601557. The cubic root of 6811440 is about 189.5598305473.

The spelling of 6811440 in words is "six million, eight hundred eleven thousand, four hundred forty".