6976368 has 100 divisors (see below), whose sum is σ = 23106160. Its totient is φ = 1990656.

The previous prime is 6976349. The next prime is 6976369. The reversal of 6976368 is 8636796.

6976368 is a `hidden beast` number, since 6 + 9 + 7 + 636 + 8 = 666.

6976368 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

6976368 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6976369) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8688 + ... + 9456.

Almost surely, 2^6976368 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 6976368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11553080).

6976368 is an abundant number, since it is smaller than the sum of its proper divisors (16129792).

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

6976368 is a wasteful number, since it uses less digits than its factorization.

6976368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 781 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 6976368 is about 2641.2815071476. The cubic root of 6976368 is about 191.0776070506.

The spelling of 6976368 in words is "six million, nine hundred seventy-six thousand, three hundred sixty-eight".