9436896 has 144 divisors (see below), whose sum is σ = 31868928. Its totient is φ = 2592000.

The previous prime is 9436841. The next prime is 9436907. The reversal of 9436896 is 6986349.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×9436896² = 178110012229632, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62421 + ... + 62571.

It is an arithmetic number, because the mean of its divisors is an integer number (221312).

Almost surely, 2^9436896 is an apocalyptic number.

9436896 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9436896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15934464).

9436896 is an abundant number, since it is smaller than the sum of its proper divisors (22432032).

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

9436896 is a wasteful number, since it uses less digits than its factorization.

9436896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 194 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 9436896 is about 3071.9531246424. The cubic root of 9436896 is about 211.3211942152.

The spelling of 9436896 in words is "nine million, four hundred thirty-six thousand, eight hundred ninety-six".