6864016 has 40 divisors (see below), whose sum is σ = 14250080. Its totient is φ = 3193344.

The previous prime is 6863993. The next prime is 6864019. The reversal of 6864016 is 6104686.

It is a super-2 number, since 2×6864016² = 94229431296512, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6864019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20200 + ... + 20536.

It is an arithmetic number, because the mean of its divisors is an integer number (356252).

Almost surely, 2^6864016 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 6864016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7125040).

6864016 is an abundant number, since it is smaller than the sum of its proper divisors (7386064).

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

6864016 is a wasteful number, since it uses less digits than its factorization.

6864016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 6864016 is about 2619.9267165324. The cubic root of 6864016 is about 190.0463045038.

The spelling of 6864016 in words is "six million, eight hundred sixty-four thousand, sixteen".