8057664 has 56 divisors (see below), whose sum is σ = 23693120. Its totient is φ = 2685312.

The previous prime is 8057663. The next prime is 8057669. The reversal of 8057664 is 4667508.

It is a happy number.

8057664 is a `hidden beast` number, since 80 + 576 + 6 + 4 = 666.

8057664 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8057663) 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, 604 + ... + 4059.

Almost surely, 2^8057664 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 8057664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11846560).

8057664 is an abundant number, since it is smaller than the sum of its proper divisors (15635456).

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

8057664 is a wasteful number, since it uses less digits than its factorization.

8057664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4684 (or 4668 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 8057664 is about 2838.6024730490. The cubic root of 8057664 is about 200.4793833732.

The spelling of 8057664 in words is "eight million, fifty-seven thousand, six hundred sixty-four".