9973824 has 112 divisors (see below), whose sum is σ = 31065216. Its totient is φ = 2764800.

The previous prime is 9973819. The next prime is 9973837. The reversal of 9973824 is 4283799.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 55014 + ... + 55194.

It is an arithmetic number, because the mean of its divisors is an integer number (277368).

Almost surely, 2^9973824 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 9973824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15532608).

9973824 is an abundant number, since it is smaller than the sum of its proper divisors (21091392).

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

9973824 is a wasteful number, since it uses less digits than its factorization.

9973824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 234 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 9973824 is about 3158.1361591926. The cubic root of 9973824 is about 215.2553231359.

The spelling of 9973824 in words is "nine million, nine hundred seventy-three thousand, eight hundred twenty-four".