980320 has 48 divisors (see below), whose sum is σ = 2531088. Its totient is φ = 355840.

The previous prime is 980299. The next prime is 980321. The reversal of 980320 is 23089.

It is a super-2 number, since 2×980320² = 1922054604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 980291 and 980300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1482 + ... + 2038.

It is an arithmetic number, because the mean of its divisors is an integer number (52731).

2⁹⁸⁰³²⁰ 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 980320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265544).

980320 is an abundant number, since it is smaller than the sum of its proper divisors (1550768).

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

980320 is a wasteful number, since it uses less digits than its factorization.

980320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 980320 is about 990.1111048766. Note that the first 4 decimals coincide. The cubic root of 980320 is about 99.3396489636.

It can be divided in two parts, 980 and 320, that multiplied together give a square (313600 = 560²).

The spelling of 980320 in words is "nine hundred eighty thousand, three hundred twenty".