9846900 has 144 divisors (see below), whose sum is σ = 36247680. Its totient is φ = 2246400.

The previous prime is 9846887. The next prime is 9846913. The reversal of 9846900 is 96489.

It is an interprime number because it is at equal distance from previous prime (9846887) and next prime (9846913).

It is a super-2 number, since 2×9846900² = 193922879220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18640 + ... + 19160.

It is an arithmetic number, because the mean of its divisors is an integer number (251720).

Almost surely, 2^9846900 is an apocalyptic number.

9846900 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 9846900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18123840).

9846900 is an abundant number, since it is smaller than the sum of its proper divisors (26400780).

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

9846900 is a wasteful number, since it uses less digits than its factorization.

9846900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9846900 is about 3137.9770553654. The cubic root of 9846900 is about 214.3383299369.

The spelling of 9846900 in words is "nine million, eight hundred forty-six thousand, nine hundred".