973289856 has 128 divisors (see below), whose sum is σ = 3223330560. Its totient is φ = 252794880.

The previous prime is 973289791. The next prime is 973289879. The reversal of 973289856 is 658982379.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 973289796 and 973289805.

It is a congruent number.

It is an unprimeable number.

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, 13110 + ... + 46026.

It is an arithmetic number, because the mean of its divisors is an integer number (25182270).

Almost surely, 2^973289856 is an apocalyptic number.

973289856 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 973289856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611665280).

973289856 is an abundant number, since it is smaller than the sum of its proper divisors (2250040704).

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

973289856 is a wasteful number, since it uses less digits than its factorization.

973289856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32952 (or 32940 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 57.

The square root of 973289856 is about 31197.5937533650. The cubic root of 973289856 is about 991.0161508146.

The spelling of 973289856 in words is "nine hundred seventy-three million, two hundred eighty-nine thousand, eight hundred fifty-six".