6980896 has 48 divisors (see below), whose sum is σ = 15039864. Its totient is φ = 3170304.

The previous prime is 6980849. The next prime is 6980899.

It is a happy number.

6980896 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 6051600 + 929296 = 2460^2 + 964^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6980899) 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, 40266 + ... + 40438.

Almost surely, 2^6980896 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 6980896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7519932).

6980896 is an abundant number, since it is smaller than the sum of its proper divisors (8058968).

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

6980896 is a wasteful number, since it uses less digits than its factorization.

6980896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 6980896 is about 2642.1385277839. The cubic root of 6980896 is about 191.1189376439.

The spelling of 6980896 in words is "six million, nine hundred eighty thousand, eight hundred ninety-six".