978560 has 64 divisors (see below), whose sum is σ = 2570400. Its totient is φ = 353280.

The previous prime is 978541. The next prime is 978569. The reversal of 978560 is 65879.

978560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 978560.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 978560.

It is not an unprimeable number, because it can be changed into a prime (978569) by changing a digit.

978560 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, 6971 + ... + 7109.

2⁹⁷⁸⁵⁶⁰ 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 978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285200).

978560 is an abundant number, since it is smaller than the sum of its proper divisors (1591840).

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

978560 is a wasteful number, since it uses less digits than its factorization.

978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 978560 is about 989.2219164576. The cubic root of 978560 is about 99.2801641296.

The spelling of 978560 in words is "nine hundred seventy-eight thousand, five hundred sixty".