9615600 has 90 divisors (see below), whose sum is σ = 33381296. Its totient is φ = 2563200.

The previous prime is 9615583. The next prime is 9615623. The reversal of 9615600 is 65169.

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 2265 + ... + 4935.

Almost surely, 2^9615600 is an apocalyptic number.

9615600 is a gapful number since it is divisible by the number (90) 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 9615600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16690648).

9615600 is an abundant number, since it is smaller than the sum of its proper divisors (23765696).

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

9615600 is a wasteful number, since it uses less digits than its factorization.

9615600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 9615600 is about 3100.9030942614. The cubic root of 9615600 is about 212.6467728804.

It can be divided in two parts, 961 and 5600, that added together give a 8-th power (6561 = 3⁸).

The spelling of 9615600 in words is "nine million, six hundred fifteen thousand, six hundred".