96720000 has 320 divisors, whose sum is σ = 356885760. Its totient is φ = 23040000.

The previous prime is 96719999. The next prime is 96720023. The reversal of 96720000 is 2769.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 39 ways as a sum of consecutive naturals, for example, 3119985 + ... + 3120015.

It is an arithmetic number, because the mean of its divisors is an integer number (1115268).

Almost surely, 2^96720000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178442880).

96720000 is an abundant number, since it is smaller than the sum of its proper divisors (260165760).

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

96720000 is a wasteful number, since it uses less digits than its factorization.

96720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 96720000 is about 9834.6326825154. The cubic root of 96720000 is about 459.0275613431.

Adding to 96720000 its reverse (2769), we get a palindrome (96722769).

The spelling of 96720000 in words is "ninety-six million, seven hundred twenty thousand".