9846408 has 128 divisors (see below), whose sum is σ = 30643200. Its totient is φ = 2592000.

The previous prime is 9846391. The next prime is 9846413. The reversal of 9846408 is 8046489.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a plaindrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65133 + ... + 65283.

It is an arithmetic number, because the mean of its divisors is an integer number (239400).

Almost surely, 2^9846408 is an apocalyptic number.

9846408 is the 1812-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9846408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15321600).

9846408 is an abundant number, since it is smaller than the sum of its proper divisors (20796792).

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

9846408 is a wasteful number, since it uses less digits than its factorization.

9846408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 9846408 is about 3137.8986599315. The cubic root of 9846408 is about 214.3347600751.

The spelling of 9846408 in words is "nine million, eight hundred forty-six thousand, four hundred eight".