9855360 has 192 divisors, whose sum is σ = 35802000. Its totient is φ = 2494464.

The previous prime is 9855323. The next prime is 9855367. The reversal of 9855360 is 635589.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9855367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167011 + ... + 167069.

Almost surely, 2^9855360 is an apocalyptic number.

9855360 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 9855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17901000).

9855360 is an abundant number, since it is smaller than the sum of its proper divisors (25946640).

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

9855360 is a wasteful number, since it uses less digits than its factorization.

9855360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 9855360 is about 3139.3247681627. The cubic root of 9855360 is about 214.3996955517.

The spelling of 9855360 in words is "nine million, eight hundred fifty-five thousand, three hundred sixty".