978744960 has 192 divisors, whose sum is σ = 3396257280. Its totient is φ = 259725312.

The previous prime is 978744953. The next prime is 978744997. The reversal of 978744960 is 69447879.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 978744897 and 978744906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2113689 + ... + 2114151.

It is an arithmetic number, because the mean of its divisors is an integer number (17688840).

Almost surely, 2^978744960 is an apocalyptic number.

978744960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 978744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698128640).

978744960 is an abundant number, since it is smaller than the sum of its proper divisors (2417512320).

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

978744960 is a wasteful number, since it uses less digits than its factorization.

978744960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 978744960 is about 31284.8998719830. The cubic root of 978744960 is about 992.8641879714.

The spelling of 978744960 in words is "nine hundred seventy-eight million, seven hundred forty-four thousand, nine hundred sixty".