9735900 has 144 divisors (see below), whose sum is σ = 31497984. Its totient is φ = 2309120.

The previous prime is 9735899. The next prime is 9735919. The reversal of 9735900 is 95379.

9735900 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117259 + ... + 117341.

It is an arithmetic number, because the mean of its divisors is an integer number (218736).

Almost surely, 2^9735900 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 9735900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748992).

9735900 is an abundant number, since it is smaller than the sum of its proper divisors (21762084).

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

9735900 is a wasteful number, since it uses less digits than its factorization.

9735900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 33.

The square root of 9735900 is about 3120.2403753557. The cubic root of 9735900 is about 213.5299023726.

The spelling of 9735900 in words is "nine million, seven hundred thirty-five thousand, nine hundred".