8000640 has 128 divisors (see below), whose sum is σ = 28396800. Its totient is φ = 2128896.

The previous prime is 8000633. The next prime is 8000651. The reversal of 8000640 is 460008.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 17049 + ... + 17511.

It is an arithmetic number, because the mean of its divisors is an integer number (221850).

Almost surely, 2^8000640 is an apocalyptic number.

8000640 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 8000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14198400).

8000640 is an abundant number, since it is smaller than the sum of its proper divisors (20396160).

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

8000640 is a wasteful number, since it uses less digits than its factorization.

8000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8000640 is about 2828.5402595685. The cubic root of 8000640 is about 200.0053331911.

Adding to 8000640 its reverse (460008), we get a palindrome (8460648).

The spelling of 8000640 in words is "eight million, six hundred forty", and thus it is an aban number.