6693820 has 48 divisors (see below), whose sum is σ = 16228800. Its totient is φ = 2271744.

The previous prime is 6693773. The next prime is 6693821. The reversal of 6693820 is 283966.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6693821) 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, 19006 + ... + 19354.

It is an arithmetic number, because the mean of its divisors is an integer number (338100).

Almost surely, 2^6693820 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 6693820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8114400).

6693820 is an abundant number, since it is smaller than the sum of its proper divisors (9534980).

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

6693820 is a wasteful number, since it uses less digits than its factorization.

6693820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 6693820 is about 2587.2417745545. The cubic root of 6693820 is about 188.4623822942.

It can be divided in two parts, 669 and 3820, that added together give a square (4489 = 67²).

The spelling of 6693820 in words is "six million, six hundred ninety-three thousand, eight hundred twenty".