8032640 has 128 divisors (see below), whose sum is σ = 24088320. Its totient is φ = 2488320.

The previous prime is 8032639. The next prime is 8032643. The reversal of 8032640 is 462308.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8032643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49199 + ... + 49361.

It is an arithmetic number, because the mean of its divisors is an integer number (188190).

Almost surely, 2^8032640 is an apocalyptic number.

8032640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12044160).

8032640 is an abundant number, since it is smaller than the sum of its proper divisors (16055680).

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

8032640 is a wasteful number, since it uses less digits than its factorization.

8032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 8032640 is about 2834.1912426652. The cubic root of 8032640 is about 200.2716309162.

Adding to 8032640 its reverse (462308), we get a palindrome (8494948).

It can be divided in two parts, 803 and 2640, that added together give a palindrome (3443).

The spelling of 8032640 in words is "eight million, thirty-two thousand, six hundred forty".