9827820 has 72 divisors (see below), whose sum is σ = 30270240. Its totient is φ = 2580480.

The previous prime is 9827813. The next prime is 9827821. The reversal of 9827820 is 287289.

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 (9827821) 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, 12396 + ... + 13164.

It is an arithmetic number, because the mean of its divisors is an integer number (420420).

Almost surely, 2^9827820 is an apocalyptic number.

9827820 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 9827820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135120).

9827820 is an abundant number, since it is smaller than the sum of its proper divisors (20442420).

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

9827820 is a wasteful number, since it uses less digits than its factorization.

9827820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 9827820 is about 3134.9354060331. The cubic root of 9827820 is about 214.1998017506.

The spelling of 9827820 in words is "nine million, eight hundred twenty-seven thousand, eight hundred twenty".