912912 has 160 divisors (see below), whose sum is σ = 3333120. Its totient is φ = 207360.

The previous prime is 912911. The next prime is 912929. The reversal of 912912 is 219219.

912912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (912911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48039 + ... + 48057.

It is an arithmetic number, because the mean of its divisors is an integer number (20832).

2⁹¹²⁹¹² 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 912912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666560).

912912 is an abundant number, since it is smaller than the sum of its proper divisors (2420208).

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

912912 is a wasteful number, since it uses less digits than its factorization.

912912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 55 counting only the distinct ones).

The product of its digits is 324, while the sum is 24.

The square root of 912912 is about 955.4642850468. The cubic root of 912912 is about 97.0084663316.

It can be divided in two parts, 91 and 2912, that added together give a palindrome (3003).

The spelling of 912912 in words is "nine hundred twelve thousand, nine hundred twelve".