8538240 has 64 divisors (see below), whose sum is σ = 27221760. Its totient is φ = 2276352.

The previous prime is 8538227. The next prime is 8538259. The reversal of 8538240 is 428358.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 8538198 and 8538207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 304 + ... + 4143.

It is an arithmetic number, because the mean of its divisors is an integer number (425340).

Almost surely, 2^8538240 is an apocalyptic number.

8538240 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 8538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13610880).

8538240 is an abundant number, since it is smaller than the sum of its proper divisors (18683520).

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

8538240 is a wasteful number, since it uses less digits than its factorization.

8538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4469 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 8538240 is about 2922.0266939232. The cubic root of 8538240 is about 204.3883413936.

It can be divided in two parts, 8538 and 240, that added together give a palindrome (8778).

The spelling of 8538240 in words is "eight million, five hundred thirty-eight thousand, two hundred forty".