6981824 has 42 divisors (see below), whose sum is σ = 14424660. Its totient is φ = 3351936.

The previous prime is 6981823. The next prime is 6981829. The reversal of 6981824 is 4281896.

It is not an unprimeable number, because it can be changed into a prime (6981823) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 118307 + ... + 118365.

Almost surely, 2^6981824 is an apocalyptic number.

6981824 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 6981824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7212330).

6981824 is an abundant number, since it is smaller than the sum of its proper divisors (7442836).

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

6981824 is an equidigital number, since it uses as much as digits as its factorization.

6981824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 104 counting only the distinct ones).

The product of its digits is 27648, while the sum is 38.

The square root of 6981824 is about 2642.3141372668. The cubic root of 6981824 is about 191.1274060180.

The spelling of 6981824 in words is "six million, nine hundred eighty-one thousand, eight hundred twenty-four".