9829840 has 80 divisors (see below), whose sum is σ = 24998400. Its totient is φ = 3580416.

The previous prime is 9829829. The next prime is 9829861. The reversal of 9829840 is 489289.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 9829793 and 9829802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43969 + ... + 44191.

It is an arithmetic number, because the mean of its divisors is an integer number (312480).

Almost surely, 2^9829840 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 9829840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499200).

9829840 is an abundant number, since it is smaller than the sum of its proper divisors (15168560).

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

9829840 is a wasteful number, since it uses less digits than its factorization.

9829840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 9829840 is about 3135.2575651771. The cubic root of 9829840 is about 214.2144762141.

The spelling of 9829840 in words is "nine million, eight hundred twenty-nine thousand, eight hundred forty".