973263600 has 720 divisors, whose sum is σ = 4029742080. Its totient is φ = 223948800.

The previous prime is 973263559. The next prime is 973263623. The reversal of 973263600 is 6362379.

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31395585 + ... + 31395615.

It is an arithmetic number, because the mean of its divisors is an integer number (5596864).

Almost surely, 2^973263600 is an apocalyptic number.

973263600 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 973263600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014871040).

973263600 is an abundant number, since it is smaller than the sum of its proper divisors (3056478480).

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

973263600 is a wasteful number, since it uses less digits than its factorization.

973263600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 973263600 is about 31197.1729488427. The cubic root of 973263600 is about 991.0072393364.

The spelling of 973263600 in words is "nine hundred seventy-three million, two hundred sixty-three thousand, six hundred".