9832420 has 36 divisors (see below), whose sum is σ = 22366260. Its totient is φ = 3629184.

The previous prime is 9832399. The next prime is 9832441. The reversal of 9832420 is 242389.

It is an interprime number because it is at equal distance from previous prime (9832399) and next prime (9832441).

It can be written as a sum of positive squares in 6 ways, for example, as 627264 + 9205156 = 792^2 + 3034^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1926 + ... + 4834.

It is an arithmetic number, because the mean of its divisors is an integer number (621285).

Almost surely, 2^9832420 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 9832420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11183130).

9832420 is an abundant number, since it is smaller than the sum of its proper divisors (12533840).

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

9832420 is a wasteful number, since it uses less digits than its factorization.

9832420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 9832420 is about 3135.6689876325. The cubic root of 9832420 is about 214.2332159224.

It can be divided in two parts, 983 and 2420, that added together give a triangular number (3403 = T₈₂).

The spelling of 9832420 in words is "nine million, eight hundred thirty-two thousand, four hundred twenty".