978906960 has 120 divisors (see below), whose sum is σ = 3293316000. Its totient is φ = 260580096.

The previous prime is 978906949. The next prime is 978906991. The reversal of 978906960 is 69609879.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 978906897 and 978906906.

It is a congruent number.

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, 652291 + ... + 653789.

It is an arithmetic number, because the mean of its divisors is an integer number (27444300).

Almost surely, 2^978906960 is an apocalyptic number.

978906960 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 978906960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646658000).

978906960 is an abundant number, since it is smaller than the sum of its proper divisors (2314409040).

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

978906960 is a wasteful number, since it uses less digits than its factorization.

978906960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 978906960 is about 31287.4888733500. The cubic root of 978906960 is about 992.9189639453.

The spelling of 978906960 in words is "nine hundred seventy-eight million, nine hundred six thousand, nine hundred sixty".