9882000 has 200 divisors, whose sum is σ = 36279672. Its totient is φ = 2592000.

The previous prime is 9881999. The next prime is 9882013. The reversal of 9882000 is 2889.

It can be written as a sum of positive squares in 4 ways, for example, as 2396304 + 7485696 = 1548^2 + 2736^2 .

It is a tau number, because it is divible by the number of its divisors (200).

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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161970 + ... + 162030.

Almost surely, 2^9882000 is an apocalyptic number.

9882000 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 9882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18139836).

9882000 is an abundant number, since it is smaller than the sum of its proper divisors (26397672).

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

9882000 is a wasteful number, since it uses less digits than its factorization.

9882000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 9882000 is about 3143.5648553831. The cubic root of 9882000 is about 214.5927028512.

Adding to 9882000 its reverse (2889), we get a palindrome (9884889).

The spelling of 9882000 in words is "nine million, eight hundred eighty-two thousand".