6811400 has 24 divisors (see below), whose sum is σ = 15836970. Its totient is φ = 2724480.

The previous prime is 6811397. The next prime is 6811403. The reversal of 6811400 is 41186.

It is an interprime number because it is at equal distance from previous prime (6811397) and next prime (6811403).

It can be written as a sum of positive squares in 3 ways, for example, as 6061444 + 749956 = 2462^2 + 866^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (6811403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16829 + ... + 17228.

Almost surely, 2^6811400 is an apocalyptic number.

It is an amenable number.

6811400 is an abundant number, since it is smaller than the sum of its proper divisors (9025570).

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

6811400 is a wasteful number, since it uses less digits than its factorization.

6811400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34073 (or 34064 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 6811400 is about 2609.8658969380. The cubic root of 6811400 is about 189.5594594849.

Adding to 6811400 its reverse (41186), we get a palindrome (6852586).

The spelling of 6811400 in words is "six million, eight hundred eleven thousand, four hundred".