9955600 has 30 divisors (see below), whose sum is σ = 23919290. Its totient is φ = 3982080.

The previous prime is 9955577. The next prime is 9955633. The reversal of 9955600 is 65599.

It can be written as a sum of positive squares in 3 ways, for example, as 121104 + 9834496 = 348^2 + 3136^2 .

It is a super-2 number, since 2×9955600² = 198227942720000, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 12045 + ... + 12844.

Almost surely, 2^9955600 is an apocalyptic number.

It is an amenable number.

9955600 is an abundant number, since it is smaller than the sum of its proper divisors (13963690).

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

9955600 is a wasteful number, since it uses less digits than its factorization.

9955600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24907 (or 24896 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 34.

The square root of 9955600 is about 3155.2495939307. The cubic root of 9955600 is about 215.1241395942.

The spelling of 9955600 in words is "nine million, nine hundred fifty-five thousand, six hundred".