978112 has 56 divisors (see below), whose sum is σ = 2194560. Its totient is φ = 430080.

The previous prime is 978091. The next prime is 978113. The reversal of 978112 is 211879.

978112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (978113) by changing a digit.

978112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31537 + ... + 31567.

2⁹⁷⁸¹¹² 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 978112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097280).

978112 is an abundant number, since it is smaller than the sum of its proper divisors (1216448).

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

978112 is a wasteful number, since it uses less digits than its factorization.

978112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 79 counting only the distinct ones).

The product of its digits is 1008, while the sum is 28.

The square root of 978112 is about 988.9954499390. The cubic root of 978112 is about 99.2650111488.

The spelling of 978112 in words is "nine hundred seventy-eight thousand, one hundred twelve".