8129408 has 64 divisors (see below), whose sum is σ = 19029120. Its totient is φ = 3386880.

The previous prime is 8129399. The next prime is 8129411. The reversal of 8129408 is 8049218.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38423 + ... + 38633.

It is an arithmetic number, because the mean of its divisors is an integer number (297330).

Almost surely, 2^8129408 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 8129408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9514560).

8129408 is an abundant number, since it is smaller than the sum of its proper divisors (10899712).

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

8129408 is a wasteful number, since it uses less digits than its factorization.

8129408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 8129408 is about 2851.2116722544. The cubic root of 8129408 is about 201.0726369653.

The spelling of 8129408 in words is "eight million, one hundred twenty-nine thousand, four hundred eight".