980820864 has 96 divisors (see below), whose sum is σ = 2898821640. Its totient is φ = 318090240.

The previous prime is 980820853. The next prime is 980820871. The reversal of 980820864 is 468028089.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31119 + ... + 54129.

Almost surely, 2^980820864 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 980820864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449410820).

980820864 is an abundant number, since it is smaller than the sum of its proper divisors (1918000776).

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

980820864 is a wasteful number, since it uses less digits than its factorization.

980820864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23068 (or 23053 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 980820864 is about 31318.0597100140. The cubic root of 980820864 is about 993.5656425065.

The spelling of 980820864 in words is "nine hundred eighty million, eight hundred twenty thousand, eight hundred sixty-four".