978020064 has 144 divisors (see below), whose sum is σ = 3365657568. Its totient is φ = 262987776.

The previous prime is 978020059. The next prime is 978020083. The reversal of 978020064 is 460020879.

978020064 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 (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 20004 + ... + 48540.

It is an arithmetic number, because the mean of its divisors is an integer number (23372622).

Almost surely, 2^978020064 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 978020064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682828784).

978020064 is an abundant number, since it is smaller than the sum of its proper divisors (2387637504).

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

978020064 is a wasteful number, since it uses less digits than its factorization.

978020064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28577 (or 28566 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 978020064 is about 31273.3123285654. The cubic root of 978020064 is about 992.6190096850.

The spelling of 978020064 in words is "nine hundred seventy-eight million, twenty thousand, sixty-four".