8045688 has 64 divisors (see below), whose sum is σ = 23304960. Its totient is φ = 2267136.

The previous prime is 8045671. The next prime is 8045701. The reversal of 8045688 is 8865408.

8045688 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

8045688 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13656 + ... + 14232.

It is an arithmetic number, because the mean of its divisors is an integer number (364140).

Almost surely, 2^8045688 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 8045688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11652480).

8045688 is an abundant number, since it is smaller than the sum of its proper divisors (15259272).

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

8045688 is a wasteful number, since it uses less digits than its factorization.

8045688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 8045688 is about 2836.4921998835. The cubic root of 8045688 is about 200.3800108349.

The spelling of 8045688 in words is "eight million, forty-five thousand, six hundred eighty-eight".