9240993216 has 560 divisors, whose sum is σ = 35523586560. Its totient is φ = 2306672640.

The previous prime is 9240993211. The next prime is 9240993221. The reversal of 9240993216 is 6123990429.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9240993211) and next prime (9240993221).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9240993211) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8962621 + ... + 8963651.

It is an arithmetic number, because the mean of its divisors is an integer number (63434976).

Almost surely, 2^9240993216 is an apocalyptic number.

9240993216 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 9240993216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17761793280).

9240993216 is an abundant number, since it is smaller than the sum of its proper divisors (26282593344).

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

9240993216 is a wasteful number, since it uses less digits than its factorization.

9240993216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 9240993216 is about 96130.0848642089. The cubic root of 9240993216 is about 2098.4866811506.

The spelling of 9240993216 in words is "nine billion, two hundred forty million, nine hundred ninety-three thousand, two hundred sixteen".