973280 has 96 divisors (see below), whose sum is σ = 2903040. Its totient is φ = 299520.

The previous prime is 973279. The next prime is 973283. The reversal of 973280 is 82379.

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 973280.

It is not an unprimeable number, because it can be changed into a prime (973283) 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 15 ways as a sum of consecutive naturals, for example, 12281 + ... + 12359.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2⁹⁷³²⁸⁰ 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 973280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520).

973280 is an abundant number, since it is smaller than the sum of its proper divisors (1929760).

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

973280 is a wasteful number, since it uses less digits than its factorization.

973280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 973280 is about 986.5495425978. The cubic root of 973280 is about 99.1012805635.

The spelling of 973280 in words is "nine hundred seventy-three thousand, two hundred eighty".