8337408 has 96 divisors (see below), whose sum is σ = 23587200. Its totient is φ = 2613248.

The previous prime is 8337383. The next prime is 8337421. The reversal of 8337408 is 8047338.

It is a tau number, because it is divible by the number of its divisors (96).

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 7 ways as a sum of consecutive naturals, for example, 141283 + ... + 141341.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 2^8337408 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 8337408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793600).

8337408 is an abundant number, since it is smaller than the sum of its proper divisors (15249792).

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

8337408 is a wasteful number, since it uses less digits than its factorization.

8337408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 8337408 is about 2887.4570126670. The cubic root of 8337408 is about 202.7731050625.

The spelling of 8337408 in words is "eight million, three hundred thirty-seven thousand, four hundred eight".