973560 has 128 divisors (see below), whose sum is σ = 3571200. Its totient is φ = 207360.

The previous prime is 973547. The next prime is 973561. The reversal of 973560 is 65379.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (973561) by changing a digit.

973560 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 31 ways as a sum of consecutive naturals, for example, 15930 + ... + 15990.

It is an arithmetic number, because the mean of its divisors is an integer number (27900).

2⁹⁷³⁵⁶⁰ is an apocalyptic number.

973560 is the 570-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 973560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785600).

973560 is an abundant number, since it is smaller than the sum of its proper divisors (2597640).

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

973560 is a wasteful number, since it uses less digits than its factorization.

973560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 973560 is about 986.6914411304. The cubic root of 973560 is about 99.1107830356.

The spelling of 973560 in words is "nine hundred seventy-three thousand, five hundred sixty".