8057632 has 36 divisors (see below), whose sum is σ = 17445078. Its totient is φ = 3660800.

The previous prime is 8057629. The next prime is 8057639. The reversal of 8057632 is 2367508.

It can be written as a sum of positive squares in only one way, i.e., 7203856 + 853776 = 2684^2 + 924^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8057594 and 8057603.

It is not an unprimeable number, because it can be changed into a prime (8057639) 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, 2832 + ... + 4912.

Almost surely, 2^8057632 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 8057632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8722539).

8057632 is an abundant number, since it is smaller than the sum of its proper divisors (9387446).

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

8057632 is a wasteful number, since it uses less digits than its factorization.

8057632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 8057632 is about 2838.5968364669. The cubic root of 8057632 is about 200.4791179799.

It can be divided in two parts, 80576 and 32, that added together give a palindrome (80608).

The spelling of 8057632 in words is "eight million, fifty-seven thousand, six hundred thirty-two".