8027712 has 168 divisors, whose sum is σ = 28846272. Its totient is φ = 2073600.

The previous prime is 8027699. The next prime is 8027807. The reversal of 8027712 is 2177208.

8027712 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44262 + ... + 44442.

It is an arithmetic number, because the mean of its divisors is an integer number (171704).

Almost surely, 2^8027712 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 8027712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14423136).

8027712 is an abundant number, since it is smaller than the sum of its proper divisors (20818560).

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

8027712 is a wasteful number, since it uses less digits than its factorization.

8027712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 8027712 is about 2833.3217254664. The cubic root of 8027712 is about 200.2306671943.

The spelling of 8027712 in words is "eight million, twenty-seven thousand, seven hundred twelve".