6981480 has 192 divisors, whose sum is σ = 25945920. Its totient is φ = 1612800.

The previous prime is 6981463. The next prime is 6981497. The reversal of 6981480 is 841896.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6981463) and next prime (6981497).

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

It is an Ulam number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 162339 + ... + 162381.

It is an arithmetic number, because the mean of its divisors is an integer number (135135).

Almost surely, 2^6981480 is an apocalyptic number.

6981480 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 6981480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972960).

6981480 is an abundant number, since it is smaller than the sum of its proper divisors (18964440).

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

6981480 is a wasteful number, since it uses less digits than its factorization.

6981480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 6981480 is about 2642.2490420095. The cubic root of 6981480 is about 191.1242669669.

The spelling of 6981480 in words is "six million, nine hundred eighty-one thousand, four hundred eighty".