6976240 has 80 divisors (see below), whose sum is σ = 17498880. Its totient is φ = 2580480.

The previous prime is 6976223. The next prime is 6976243. The reversal of 6976240 is 426796.

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

It is a junction number, because it is equal to n+sod(n) for n = 6976196 and 6976205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6976243) 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, 71872 + ... + 71968.

It is an arithmetic number, because the mean of its divisors is an integer number (218736).

Almost surely, 2^6976240 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 6976240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8749440).

6976240 is an abundant number, since it is smaller than the sum of its proper divisors (10522640).

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

6976240 is a wasteful number, since it uses less digits than its factorization.

6976240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 6976240 is about 2641.2572763743. The cubic root of 6976240 is about 191.0764384347.

The spelling of 6976240 in words is "six million, nine hundred seventy-six thousand, two hundred forty".