9855000 has 160 divisors (see below), whose sum is σ = 34676400. Its totient is φ = 2592000.

The previous prime is 9854989. The next prime is 9855011. The reversal of 9855000 is 5589.

It is an interprime number because it is at equal distance from previous prime (9854989) and next prime (9855011).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134964 + ... + 135036.

Almost surely, 2^9855000 is an apocalyptic number.

9855000 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 9855000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17338200).

9855000 is an abundant number, since it is smaller than the sum of its proper divisors (24821400).

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

9855000 is a wasteful number, since it uses less digits than its factorization.

9855000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 9855000 is about 3139.2674304685. The cubic root of 9855000 is about 214.3970849645.

The spelling of 9855000 in words is "nine million, eight hundred fifty-five thousand".