8383408 has 80 divisors (see below), whose sum is σ = 19641600. Its totient is φ = 3421440.

The previous prime is 8383391. The next prime is 8383429. The reversal of 8383408 is 8043838.

It is a happy 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, 76858 + ... + 76966.

It is an arithmetic number, because the mean of its divisors is an integer number (245520).

Almost surely, 2^8383408 is an apocalyptic number.

8383408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

8383408 is the 1672-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8383408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9820800).

8383408 is an abundant number, since it is smaller than the sum of its proper divisors (11258192).

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

8383408 is a wasteful number, since it uses less digits than its factorization.

8383408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 8383408 is about 2895.4115424236. The cubic root of 8383408 is about 203.1453414895.

The spelling of 8383408 in words is "eight million, three hundred eighty-three thousand, four hundred eight".