9616000 has 64 divisors (see below), whose sum is σ = 23947560. Its totient is φ = 3840000.

The previous prime is 9615989. The next prime is 9616003. The reversal of 9616000 is 6169.

It can be written as a sum of positive squares in 4 ways, for example, as 4562496 + 5053504 = 2136^2 + 2248^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9616003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15700 + ... + 16300.

Almost surely, 2^9616000 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 9616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11973780).

9616000 is an abundant number, since it is smaller than the sum of its proper divisors (14331560).

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

9616000 is an equidigital number, since it uses as much as digits as its factorization.

9616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 9616000 is about 3100.9675909303. The cubic root of 9616000 is about 212.6497214753.

The spelling of 9616000 in words is "nine million, six hundred sixteen thousand".