8306240 has 56 divisors (see below), whose sum is σ = 20052792. Its totient is φ = 3276800.

The previous prime is 8306237. The next prime is 8306261. The reversal of 8306240 is 426038.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5456896 + 2849344 = 2336^2 + 1688^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32192 + ... + 32448.

Almost surely, 2^8306240 is an apocalyptic number.

8306240 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 8306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10026396).

8306240 is an abundant number, since it is smaller than the sum of its proper divisors (11746552).

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

8306240 is a wasteful number, since it uses less digits than its factorization.

8306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 8306240 is about 2882.0548225181. The cubic root of 8306240 is about 202.5201118063.

The spelling of 8306240 in words is "eight million, three hundred six thousand, two hundred forty".