8185840 has 80 divisors (see below), whose sum is σ = 21748608. Its totient is φ = 2838528.

The previous prime is 8185819. The next prime is 8185873. The reversal of 8185840 is 485818.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 8185796 and 8185805.

It is a congruent number.

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, 17449 + ... + 17911.

Almost surely, 2^8185840 is an apocalyptic number.

8185840 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 8185840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10874304).

8185840 is an abundant number, since it is smaller than the sum of its proper divisors (13562768).

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

8185840 is a wasteful number, since it uses less digits than its factorization.

8185840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 8185840 is about 2861.0907011138. The cubic root of 8185840 is about 201.5368272292.

It can be divided in two parts, 8185 and 840, that added together give a square (9025 = 95²).

The spelling of 8185840 in words is "eight million, one hundred eighty-five thousand, eight hundred forty".