8253840 has 160 divisors (see below), whose sum is σ = 31069440. Its totient is φ = 1775616.

The previous prime is 8253829. The next prime is 8253851. The reversal of 8253840 is 483528.

It is an interprime number because it is at equal distance from previous prime (8253829) and next prime (8253851).

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 = 8253798 and 8253807.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 485512 + ... + 485528.

It is an arithmetic number, because the mean of its divisors is an integer number (194184).

Almost surely, 2^8253840 is an apocalyptic number.

8253840 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 8253840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15534720).

8253840 is an abundant number, since it is smaller than the sum of its proper divisors (22815600).

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

8253840 is a wasteful number, since it uses less digits than its factorization.

8253840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 34 counting only the distinct ones).

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

The square root of 8253840 is about 2872.9497037018. The cubic root of 8253840 is about 202.0933463939.

The spelling of 8253840 in words is "eight million, two hundred fifty-three thousand, eight hundred forty".