96973200 has 300 divisors, whose sum is σ = 361401348. Its totient is φ = 24883200.

The previous prime is 96973157. The next prime is 96973229. The reversal of 96973200 is 237969.

It can be written as a sum of positive squares in 6 ways, for example, as 14017536 + 82955664 = 3744^2 + 9108^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

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 59 ways as a sum of consecutive naturals, for example, 1328364 + ... + 1328436.

Almost surely, 2^96973200 is an apocalyptic number.

96973200 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 96973200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180700674).

96973200 is an abundant number, since it is smaller than the sum of its proper divisors (264428148).

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

96973200 is a wasteful number, since it uses less digits than its factorization.

96973200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 96973200 is about 9847.4971439447. The cubic root of 96973200 is about 459.4277698646.

The spelling of 96973200 in words is "ninety-six million, nine hundred seventy-three thousand, two hundred".