8381408 has 96 divisors (see below), whose sum is σ = 20901888. Its totient is φ = 3225600.

The previous prime is 8381393. The next prime is 8381437. The reversal of 8381408 is 8041838.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118013 + ... + 118083.

It is an arithmetic number, because the mean of its divisors is an integer number (217728).

Almost surely, 2^8381408 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 8381408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10450944).

8381408 is an abundant number, since it is smaller than the sum of its proper divisors (12520480).

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

8381408 is a wasteful number, since it uses less digits than its factorization.

8381408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 8381408 is about 2895.0661477762. The cubic root of 8381408 is about 203.1291856494.

The spelling of 8381408 in words is "eight million, three hundred eighty-one thousand, four hundred eight".