8168040 has 80 divisors (see below), whose sum is σ = 27464580. Its totient is φ = 2177280.

The previous prime is 8168023. The next prime is 8168063. The reversal of 8168040 is 408618.

It can be written as a sum of positive squares in 2 ways, for example, as 6625476 + 1542564 = 2574^2 + 1242^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 8167995 and 8168013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1980 + ... + 4500.

Almost surely, 2^8168040 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 8168040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13732290).

8168040 is an abundant number, since it is smaller than the sum of its proper divisors (19296540).

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

8168040 is a wasteful number, since it uses less digits than its factorization.

8168040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8168040 is about 2857.9783064257. The cubic root of 8168040 is about 201.3906415032.

It can be divided in two parts, 81 and 68040, that added together give a square (68121 = 261²).

The spelling of 8168040 in words is "eight million, one hundred sixty-eight thousand, forty".