980064 has 72 divisors (see below), whose sum is σ = 2889432. Its totient is φ = 314880.

The previous prime is 980047. The next prime is 980069. The reversal of 980064 is 460089.

980064 = 4³ + 5³ + ... + 44³.

980064 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 (72).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 980064.

It is not an unprimeable number, because it can be changed into a prime (980069) by changing a digit.

980064 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 11 ways as a sum of consecutive naturals, for example, 11767 + ... + 11849.

It is an arithmetic number, because the mean of its divisors is an integer number (40131).

2⁹⁸⁰⁰⁶⁴ 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 980064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444716).

980064 is an abundant number, since it is smaller than the sum of its proper divisors (1909368).

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

980064 is a wasteful number, since it uses less digits than its factorization.

980064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 980064 is about 989.9818180149. The cubic root of 980064 is about 99.3310010513.

The spelling of 980064 in words is "nine hundred eighty thousand, sixty-four".