8003240 has 64 divisors (see below), whose sum is σ = 20856960. Its totient is φ = 2707200.

The previous prime is 8003231. The next prime is 8003251. The reversal of 8003240 is 423008.

8003240 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 2829²-1.

8003240 is strictly pandigital in base 8.

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, 28139 + ... + 28421.

It is an arithmetic number, because the mean of its divisors is an integer number (325890).

Almost surely, 2^8003240 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 8003240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10428480).

8003240 is an abundant number, since it is smaller than the sum of its proper divisors (12853720).

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

8003240 is a wasteful number, since it uses less digits than its factorization.

8003240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 8003240 is about 2828.9998232591. Note that the first 3 decimals coincide. The cubic root of 8003240 is about 200.0269963558.

Adding to 8003240 its reverse (423008), we get a palindrome (8426248).

The spelling of 8003240 in words is "eight million, three thousand, two hundred forty".