6946336 has 36 divisors (see below), whose sum is σ = 14609322. Its totient is φ = 3239936.

The previous prime is 6946327. The next prime is 6946337. The reversal of 6946336 is 6336496.

It can be written as a sum of positive squares in 3 ways, for example, as 2702736 + 4243600 = 1644^2 + 2060^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6946295 and 6946304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6946337) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61416 + ... + 61528.

Almost surely, 2^6946336 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 6946336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7304661).

6946336 is an abundant number, since it is smaller than the sum of its proper divisors (7662986).

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

6946336 is a wasteful number, since it uses less digits than its factorization.

6946336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 132 counting only the distinct ones).

The product of its digits is 69984, while the sum is 37.

The square root of 6946336 is about 2635.5902564701. The cubic root of 6946336 is about 190.8030278444.

The spelling of 6946336 in words is "six million, nine hundred forty-six thousand, three hundred thirty-six".