8190840 has 128 divisors (see below), whose sum is σ = 28800000. Its totient is φ = 1862784.

The previous prime is 8190839. The next prime is 8190859. The reversal of 8190840 is 480918.

It is a happy number.

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

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 8190798 and 8190807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41061 + ... + 41259.

It is an arithmetic number, because the mean of its divisors is an integer number (225000).

Almost surely, 2^8190840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8190840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14400000).

8190840 is an abundant number, since it is smaller than the sum of its proper divisors (20609160).

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

8190840 is a wasteful number, since it uses less digits than its factorization.

8190840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 8190840 is about 2861.9643603651. The cubic root of 8190840 is about 201.5778525053.

The spelling of 8190840 in words is "eight million, one hundred ninety thousand, eight hundred forty".