8349800 has 48 divisors (see below), whose sum is σ = 19686240. Its totient is φ = 3293120.

The previous prime is 8349799. The next prime is 8349821. The reversal of 8349800 is 89438.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16349 + ... + 16851.

It is an arithmetic number, because the mean of its divisors is an integer number (410130).

Almost surely, 2^8349800 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 8349800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9843120).

8349800 is an abundant number, since it is smaller than the sum of its proper divisors (11336440).

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

8349800 is a wasteful number, since it uses less digits than its factorization.

8349800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 8349800 is about 2889.6020487257. The cubic root of 8349800 is about 202.8735167822.

The spelling of 8349800 in words is "eight million, three hundred forty-nine thousand, eight hundred".