973602816 has 80 divisors (see below), whose sum is σ = 2600466000. Its totient is φ = 324009984.

The previous prime is 973602809. The next prime is 973602821. The reversal of 973602816 is 618206379.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1572555 + ... + 1573173.

It is an arithmetic number, because the mean of its divisors is an integer number (32505825).

Almost surely, 2^973602816 is an apocalyptic number.

973602816 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 973602816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300233000).

973602816 is an abundant number, since it is smaller than the sum of its proper divisors (1626863184).

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

973602816 is an frugal number, since it uses more digits than its factorization.

973602816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 973602816 is about 31202.6091216744. The cubic root of 973602816 is about 991.1223593868.

The spelling of 973602816 in words is "nine hundred seventy-three million, six hundred two thousand, eight hundred sixteen".