6981072 has 80 divisors (see below), whose sum is σ = 20951040. Its totient is φ = 1961856.

The previous prime is 6981059. The next prime is 6981103. The reversal of 6981072 is 2701896.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

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, 26413 + ... + 26675.

It is an arithmetic number, because the mean of its divisors is an integer number (261888).

Almost surely, 2^6981072 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 6981072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10475520).

6981072 is an abundant number, since it is smaller than the sum of its proper divisors (13969968).

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

6981072 is a wasteful number, since it uses less digits than its factorization.

6981072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 6981072 is about 2642.1718339275. The cubic root of 6981072 is about 191.1205437726.

It can be divided in two parts, 698 and 1072, that added together give a triangular number (1770 = T₅₉).

The spelling of 6981072 in words is "six million, nine hundred eighty-one thousand, seventy-two".