8164840 has 64 divisors (see below), whose sum is σ = 19388160. Its totient is φ = 3091200.

The previous prime is 8164817. The next prime is 8164841. The reversal of 8164840 is 484618.

It is a super-2 number, since 2×8164840² = 133329224451200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8164841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 80790 + ... + 80890.

It is an arithmetic number, because the mean of its divisors is an integer number (302940).

Almost surely, 2^8164840 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 8164840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9694080).

8164840 is an abundant number, since it is smaller than the sum of its proper divisors (11223320).

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

8164840 is a wasteful number, since it uses less digits than its factorization.

8164840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 8164840 is about 2857.4184152833. The cubic root of 8164840 is about 201.3643384068.

The spelling of 8164840 in words is "eight million, one hundred sixty-four thousand, eight hundred forty".