8133408 has 72 divisors (see below), whose sum is σ = 23901696. Its totient is φ = 2620800.

The previous prime is 8133403. The next prime is 8133413. The reversal of 8133408 is 8043318.

8133408 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8133403) and next prime (8133413).

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (8133403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8473 + ... + 9383.

It is an arithmetic number, because the mean of its divisors is an integer number (331968).

Almost surely, 2^8133408 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 8133408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11950848).

8133408 is an abundant number, since it is smaller than the sum of its proper divisors (15768288).

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

8133408 is a wasteful number, since it uses less digits than its factorization.

8133408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8133408 is about 2851.9130421526. The cubic root of 8133408 is about 201.1056102015.

It can be divided in two parts, 81 and 33408, that added together give a square (33489 = 183²).

The spelling of 8133408 in words is "eight million, one hundred thirty-three thousand, four hundred eight".