9949824 has 64 divisors (see below), whose sum is σ = 29376000. Its totient is φ = 3315456.

The previous prime is 9949783. The next prime is 9949829. The reversal of 9949824 is 4289499.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9949824.

It is not an unprimeable number, because it can be changed into a prime (9949829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2017 + ... + 4895.

It is an arithmetic number, because the mean of its divisors is an integer number (459000).

Almost surely, 2^9949824 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 9949824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14688000).

9949824 is an abundant number, since it is smaller than the sum of its proper divisors (19426176).

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

9949824 is a wasteful number, since it uses less digits than its factorization.

9949824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902 (or 2884 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 9949824 is about 3154.3341611186. The cubic root of 9949824 is about 215.0825282596.

The spelling of 9949824 in words is "nine million, nine hundred forty-nine thousand, eight hundred twenty-four".