6812640 has 192 divisors, whose sum is σ = 25401600. Its totient is φ = 1700352.

The previous prime is 6812633. The next prime is 6812693. The reversal of 6812640 is 462186.

6812640 is a `hidden beast` number, since 6 + 8 + 12 + 640 = 666.

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

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82039 + ... + 82121.

It is an arithmetic number, because the mean of its divisors is an integer number (132300).

Almost surely, 2^6812640 is an apocalyptic number.

6812640 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 6812640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700800).

6812640 is an abundant number, since it is smaller than the sum of its proper divisors (18588960).

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

6812640 is a wasteful number, since it uses less digits than its factorization.

6812640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6812640 is about 2610.1034462258. The cubic root of 6812640 is about 189.5709617442.

It can be divided in two parts, 681 and 2640, that added together give a triangular number (3321 = T₈₁).

The spelling of 6812640 in words is "six million, eight hundred twelve thousand, six hundred forty".