978516960 has 48 divisors (see below), whose sum is σ = 3082329936. Its totient is φ = 260937728.

The previous prime is 978516941. The next prime is 978517013. The reversal of 978516960 is 69615879.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1018809 + ... + 1019768.

It is an arithmetic number, because the mean of its divisors is an integer number (64215207).

Almost surely, 2^978516960 is an apocalyptic number.

It is an amenable number.

978516960 is an abundant number, since it is smaller than the sum of its proper divisors (2103812976).

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

978516960 is a wasteful number, since it uses less digits than its factorization.

978516960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038595 (or 2038587 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 978516960 is about 31281.2557292702. The cubic root of 978516960 is about 992.7870856195.

The spelling of 978516960 in words is "nine hundred seventy-eight million, five hundred sixteen thousand, nine hundred sixty".