8205408 has 48 divisors (see below), whose sum is σ = 23934960. Its totient is φ = 2734848.

The previous prime is 8205403. The next prime is 8205409. The reversal of 8205408 is 8045028.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8205403) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3885 + ... + 5612.

It is an arithmetic number, because the mean of its divisors is an integer number (498645).

Almost surely, 2^8205408 is an apocalyptic number.

It is an amenable number.

8205408 is an abundant number, since it is smaller than the sum of its proper divisors (15729552).

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

8205408 is a wasteful number, since it uses less digits than its factorization.

8205408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9516 (or 9502 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8205408 is about 2864.5083347758. The cubic root of 8205408 is about 201.6972886436.

The spelling of 8205408 in words is "eight million, two hundred five thousand, four hundred eight".