9942912 has 160 divisors (see below), whose sum is σ = 34063920. Its totient is φ = 2820096.

The previous prime is 9942893. The next prime is 9942917. The reversal of 9942912 is 2192499.

9942912 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9942912² = 197722998079488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9942917) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72508 + ... + 72644.

Almost surely, 2^9942912 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 9942912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17031960).

9942912 is an abundant number, since it is smaller than the sum of its proper divisors (24121008).

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

9942912 is a wasteful number, since it uses less digits than its factorization.

9942912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 9942912 is about 3153.2383354260. The cubic root of 9942912 is about 215.0327118066.

The spelling of 9942912 in words is "nine million, nine hundred forty-two thousand, nine hundred twelve".