6906016 has 36 divisors (see below), whose sum is σ = 14734062. Its totient is φ = 3184896.

The previous prime is 6906007. The next prime is 6906017. The reversal of 6906016 is 6106096.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4016016 + 2890000 = 2004^2 + 1700^2 .

It is not an unprimeable number, because it can be changed into a prime (6906017) 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, 4770 + ... + 6046.

Almost surely, 2^6906016 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 6906016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7367031).

6906016 is an abundant number, since it is smaller than the sum of its proper divisors (7828046).

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

6906016 is a wasteful number, since it uses less digits than its factorization.

6906016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 6906016 is about 2627.9299838466. The cubic root of 6906016 is about 190.4331392545.

The spelling of 6906016 in words is "six million, nine hundred six thousand, sixteen".