6983280 has 160 divisors (see below), whose sum is σ = 24909120. Its totient is φ = 1797120.

The previous prime is 6983261. The next prime is 6983281. The reversal of 6983280 is 823896.

Added to its reverse (823896) it gives a triangular number (7807176 = T₃₉₅₁).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6983281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114450 + ... + 114510.

It is an arithmetic number, because the mean of its divisors is an integer number (155682).

Almost surely, 2^6983280 is an apocalyptic number.

6983280 is a gapful number since it is divisible by the number (60) 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 6983280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12454560).

6983280 is an abundant number, since it is smaller than the sum of its proper divisors (17925840).

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

6983280 is a wasteful number, since it uses less digits than its factorization.

6983280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6983280 is about 2642.5896389716. The cubic root of 6983280 is about 191.1406910927.

Adding to 6983280 its reverse (823896), we get a triangular number (7807176 = T₃₉₅₁).

The spelling of 6983280 in words is "six million, nine hundred eighty-three thousand, two hundred eighty".