10008240 has 160 divisors (see below), whose sum is σ = 35997696. Its totient is φ = 2273280.

The previous prime is 10008221. The next prime is 10008247. The reversal of 10008240 is 4280001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10008247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44769 + ... + 44991.

Almost surely, 2^10008240 is an apocalyptic number.

10008240 is a gapful number since it is divisible by the number (10) 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 10008240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17998848).

10008240 is an abundant number, since it is smaller than the sum of its proper divisors (25989456).

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

10008240 is a wasteful number, since it uses less digits than its factorization.

10008240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 10008240 is about 3163.5802502861. The cubic root of 10008240 is about 215.5026278967.

Adding to 10008240 its reverse (4280001), we get a palindrome (14288241).

The spelling of 10008240 in words is "ten million, eight thousand, two hundred forty".