6905628 has 48 divisors (see below), whose sum is σ = 18332160. Its totient is φ = 2246832.

The previous prime is 6905611. The next prime is 6905629. The reversal of 6905628 is 8265096.

6905628 is a `hidden beast` number, since 6 + 90 + 562 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6905592 and 6905601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6905629) 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 15 ways as a sum of consecutive naturals, for example, 3901 + ... + 5387.

It is an arithmetic number, because the mean of its divisors is an integer number (381920).

Almost surely, 2^6905628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6905628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9166080).

6905628 is an abundant number, since it is smaller than the sum of its proper divisors (11426532).

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

6905628 is a wasteful number, since it uses less digits than its factorization.

6905628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6905628 is about 2627.8561604471. The cubic root of 6905628 is about 190.4295728257.

The spelling of 6905628 in words is "six million, nine hundred five thousand, six hundred twenty-eight".