6971280 has 80 divisors (see below), whose sum is σ = 22331904. Its totient is φ = 1797120.

The previous prime is 6971257. The next prime is 6971287. The reversal of 6971280 is 821796.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6971287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6972 + ... + 7908.

Almost surely, 2^6971280 is an apocalyptic number.

6971280 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 6971280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11165952).

6971280 is an abundant number, since it is smaller than the sum of its proper divisors (15360624).

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

6971280 is a wasteful number, since it uses less digits than its factorization.

6971280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 978 counting only the distinct ones).

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

The square root of 6971280 is about 2640.3181626463. The cubic root of 6971280 is about 191.0311435561.

The spelling of 6971280 in words is "six million, nine hundred seventy-one thousand, two hundred eighty".