973065600 has 576 divisors, whose sum is σ = 3936310560. Its totient is φ = 227082240.

The previous prime is 973065571. The next prime is 973065631. The reversal of 973065600 is 6560379.

It is a happy number.

973065600 is a `hidden beast` number, since 97 + 3 + 0 + 6 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8611144 + ... + 8611256.

Almost surely, 2^973065600 is an apocalyptic number.

973065600 is a gapful number since it is divisible by the number (90) 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 973065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968155280).

973065600 is an abundant number, since it is smaller than the sum of its proper divisors (2963244960).

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

973065600 is a wasteful number, since it uses less digits than its factorization.

973065600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 973065600 is about 31193.9994229659. Note that the first 3 decimals coincide. The cubic root of 973065600 is about 990.9400315278.

Adding to 973065600 its sum of digits (36), we get a square (973065636 = 31194²).

The spelling of 973065600 in words is "nine hundred seventy-three million, sixty-five thousand, six hundred".