6820632 has 128 divisors (see below), whose sum is σ = 23385600. Its totient is φ = 1793664.

The previous prime is 6820607. The next prime is 6820633. The reversal of 6820632 is 2360286.

6820632 is a `hidden beast` number, since 6 + 8 + 20 + 632 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6820596 and 6820605.

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 31 ways as a sum of consecutive naturals, for example, 19483 + ... + 19829.

It is an arithmetic number, because the mean of its divisors is an integer number (182700).

Almost surely, 2^6820632 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 6820632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11692800).

6820632 is an abundant number, since it is smaller than the sum of its proper divisors (16564968).

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

6820632 is a wasteful number, since it uses less digits than its factorization.

6820632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6820632 is about 2611.6339712908. The cubic root of 6820632 is about 189.6450621942.

The spelling of 6820632 in words is "six million, eight hundred twenty thousand, six hundred thirty-two".