9915312 has 80 divisors (see below), whose sum is σ = 28391040. Its totient is φ = 2956800.

The previous prime is 9915307. The next prime is 9915313. The reversal of 9915312 is 2135199.

9915312 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 self number, because there is not a number n which added to its sum of digits gives 9915312.

It is not an unprimeable number, because it can be changed into a prime (9915313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46887 + ... + 47097.

It is an arithmetic number, because the mean of its divisors is an integer number (354888).

Almost surely, 2^9915312 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 9915312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14195520).

9915312 is an abundant number, since it is smaller than the sum of its proper divisors (18475728).

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

9915312 is a wasteful number, since it uses less digits than its factorization.

9915312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 316 counting only the distinct ones).

The product of its digits is 2430, while the sum is 30.

The square root of 9915312 is about 3148.8588409136. The cubic root of 9915312 is about 214.8335614708.

The spelling of 9915312 in words is "nine million, nine hundred fifteen thousand, three hundred twelve".