9724416 has 80 divisors (see below), whose sum is σ = 27956544. Its totient is φ = 2985984.

The previous prime is 9724411. The next prime is 9724427. The reversal of 9724416 is 6144279.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (9724411) 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, 19725 + ... + 20211.

Almost surely, 2^9724416 is an apocalyptic number.

9724416 is a gapful number since it is divisible by the number (96) 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 9724416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13978272).

9724416 is an abundant number, since it is smaller than the sum of its proper divisors (18232128).

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

9724416 is a wasteful number, since it uses less digits than its factorization.

9724416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 505 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 9724416 is about 3118.3995895331. The cubic root of 9724416 is about 213.4459128018.

The spelling of 9724416 in words is "nine million, seven hundred twenty-four thousand, four hundred sixteen".