8024640 has 112 divisors (see below), whose sum is σ = 27480768. Its totient is φ = 1972224.

The previous prime is 8024623. The next prime is 8024641. The reversal of 8024640 is 464208.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 8024640.

It is not an unprimeable number, because it can be changed into a prime (8024641) 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, 12159 + ... + 12801.

It is an arithmetic number, because the mean of its divisors is an integer number (245364).

Almost surely, 2^8024640 is an apocalyptic number.

8024640 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 8024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13740384).

8024640 is an abundant number, since it is smaller than the sum of its proper divisors (19456128).

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

8024640 is a wasteful number, since it uses less digits than its factorization.

8024640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 8024640 is about 2832.7795537246. The cubic root of 8024640 is about 200.2051228844.

Adding to 8024640 its reverse (464208), we get a palindrome (8488848).

The spelling of 8024640 in words is "eight million, twenty-four thousand, six hundred forty".