6974080 has 64 divisors (see below), whose sum is σ = 17680680. Its totient is φ = 2621440.

The previous prime is 6974057. The next prime is 6974081. The reversal of 6974080 is 804796.

It can be written as a sum of positive squares in 4 ways, for example, as 6927424 + 46656 = 2632^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (6974081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10560 + ... + 11200.

Almost surely, 2^6974080 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 6974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8840340).

6974080 is an abundant number, since it is smaller than the sum of its proper divisors (10706600).

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

6974080 is a wasteful number, since it uses less digits than its factorization.

6974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 6974080 is about 2640.8483485426. The cubic root of 6974080 is about 191.0567158855.

6974080 divided by its sum of digits (34) gives a triangular number (205120 = T₆₄₀).

The spelling of 6974080 in words is "six million, nine hundred seventy-four thousand, eighty".