9655600 has 60 divisors (see below), whose sum is σ = 23525280. Its totient is φ = 3808000.

The previous prime is 9655589. The next prime is 9655603. The reversal of 9655600 is 65569.

It is a happy number.

It is a super-2 number, since 2×9655600² = 186461222720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9655603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40281 + ... + 40519.

It is an arithmetic number, because the mean of its divisors is an integer number (392088).

Almost surely, 2^9655600 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 9655600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11762640).

9655600 is an abundant number, since it is smaller than the sum of its proper divisors (13869680).

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

9655600 is a wasteful number, since it uses less digits than its factorization.

9655600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 9655600 is about 3107.3461345656. The cubic root of 9655600 is about 212.9412285411.

Subtracting from 9655600 its sum of digits (31), we obtain a palindrome (9655569).

It can be divided in two parts, 96 and 55600, that added together give a square (55696 = 236²).

The spelling of 9655600 in words is "nine million, six hundred fifty-five thousand, six hundred".