6946368 has 168 divisors, whose sum is σ = 22701504. Its totient is φ = 1858560.

The previous prime is 6946363. The next prime is 6946393. The reversal of 6946368 is 8636496.

6946368 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 6² + 9⁷ + 4⁸ + 6³ + 3⁵ + 6³ + 8⁷ .

It is not an unprimeable number, because it can be changed into a prime (6946363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302005 + ... + 302027.

It is an arithmetic number, because the mean of its divisors is an integer number (135128).

Almost surely, 2^6946368 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 6946368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11350752).

6946368 is an abundant number, since it is smaller than the sum of its proper divisors (15755136).

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

6946368 is a wasteful number, since it uses less digits than its factorization.

6946368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 52 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 6946368 is about 2635.5963272095. The cubic root of 6946368 is about 190.8033208376.

The spelling of 6946368 in words is "six million, nine hundred forty-six thousand, three hundred sixty-eight".