6813540 has 36 divisors (see below), whose sum is σ = 20668284. Its totient is φ = 1816896.

The previous prime is 6813539. The next prime is 6813559. The reversal of 6813540 is 453186.

It can be written as a sum of positive squares in 2 ways, for example, as 820836 + 5992704 = 906^2 + 2448^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18747 + ... + 19106.

It is an arithmetic number, because the mean of its divisors is an integer number (574119).

Almost surely, 2^6813540 is an apocalyptic number.

6813540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6813540 is an abundant number, since it is smaller than the sum of its proper divisors (13854744).

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

6813540 is a wasteful number, since it uses less digits than its factorization.

6813540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37868 (or 37863 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6813540 is about 2610.2758474920. The cubic root of 6813540 is about 189.5793092841.

The spelling of 6813540 in words is "six million, eight hundred thirteen thousand, five hundred forty".