6661824 has 112 divisors (see below), whose sum is σ = 20226528. Its totient is φ = 1916928.

The previous prime is 6661783. The next prime is 6661849. The reversal of 6661824 is 4281666.

It is a happy number.

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

Its product of digits (13824) is a multiple of the sum of its prime divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42354 + ... + 42510.

It is an arithmetic number, because the mean of its divisors is an integer number (180594).

Almost surely, 2^6661824 is an apocalyptic number.

6661824 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6661824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10113264).

6661824 is an abundant number, since it is smaller than the sum of its proper divisors (13564704).

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

6661824 is a wasteful number, since it uses less digits than its factorization.

6661824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 192 counting only the distinct ones).

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

The square root of 6661824 is about 2581.0509487416. The cubic root of 6661824 is about 188.1616234993.

The spelling of 6661824 in words is "six million, six hundred sixty-one thousand, eight hundred twenty-four".