6820638 has 32 divisors (see below), whose sum is σ = 15759360. Its totient is φ = 1944960.

The previous prime is 6820633. The next prime is 6820643. The reversal of 6820638 is 8360286.

It is an interprime number because it is at equal distance from previous prime (6820633) and next prime (6820643).

It is a super-2 number, since 2×6820638² = 93042205454088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 6820599 and 6820608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6820633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1918 + ... + 4161.

It is an arithmetic number, because the mean of its divisors is an integer number (492480).

Almost surely, 2^6820638 is an apocalyptic number.

6820638 is an abundant number, since it is smaller than the sum of its proper divisors (8938722).

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

6820638 is a wasteful number, since it uses less digits than its factorization.

6820638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6112.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 6820638 is about 2611.6351199967. The cubic root of 6820638 is about 189.6451178034.

It can be divided in two parts, 68 and 20638, that added together give a triangular number (20706 = T₂₀₃).

The spelling of 6820638 in words is "six million, eight hundred twenty thousand, six hundred thirty-eight".