6810642 has 40 divisors (see below), whose sum is σ = 16165116. Its totient is φ = 2135808.

The previous prime is 6810631. The next prime is 6810653. The reversal of 6810642 is 2460186.

6810642 is a `hidden beast` number, since 6 + 8 + 10 + 642 = 666.

6810642 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6810631) and next prime (6810653).

It can be written as a sum of positive squares in 2 ways, for example, as 6305121 + 505521 = 2511^2 + 711^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1518 + ... + 3990.

Almost surely, 2^6810642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6810642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8082558).

6810642 is an abundant number, since it is smaller than the sum of its proper divisors (9354474).

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

6810642 is a wasteful number, since it uses less digits than its factorization.

6810642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2495 counting only the distinct ones).

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

The square root of 6810642 is about 2609.7206747083. The cubic root of 6810642 is about 189.5524275775.

The spelling of 6810642 in words is "six million, eight hundred ten thousand, six hundred forty-two".