9561600 has 180 divisors, whose sum is σ = 34630596. Its totient is φ = 2519040.

The previous prime is 9561557. The next prime is 9561611. The reversal of 9561600 is 61659.

9561600 is a `hidden beast` number, since 9 + 56 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 115159 + ... + 115241.

Almost surely, 2^9561600 is an apocalyptic number.

9561600 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 9561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17315298).

9561600 is an abundant number, since it is smaller than the sum of its proper divisors (25068996).

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

9561600 is a wasteful number, since it uses less digits than its factorization.

9561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 93 counting only the distinct ones).

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

The square root of 9561600 is about 3092.1836944140. The cubic root of 9561600 is about 212.2479595420.

It can be divided in two parts, 956 and 1600, that added together give a triangular number (2556 = T₇₁).

The spelling of 9561600 in words is "nine million, five hundred sixty-one thousand, six hundred".