6824664 has 96 divisors (see below), whose sum is σ = 23063040. Its totient is φ = 1771200.

The previous prime is 6824663. The next prime is 6824669. The reversal of 6824664 is 4664286.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6824663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4929 + ... + 6159.

It is an arithmetic number, because the mean of its divisors is an integer number (240240).

Almost surely, 2^6824664 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 6824664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11531520).

6824664 is an abundant number, since it is smaller than the sum of its proper divisors (16238376).

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

6824664 is a wasteful number, since it uses less digits than its factorization.

6824664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1254 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 6824664 is about 2612.4057877749. The cubic root of 6824664 is about 189.6824242386.

The spelling of 6824664 in words is "six million, eight hundred twenty-four thousand, six hundred sixty-four".