96720 has 80 divisors (see below), whose sum is σ = 333312. Its totient is φ = 23040.

The previous prime is 96703. The next prime is 96731. The reversal of 96720 is 2769.

It is a Cunningham number, because it is equal to 311²-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 96720.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3105 + ... + 3135.

2⁹⁶⁷²⁰ 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 96720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166656).

96720 is an abundant number, since it is smaller than the sum of its proper divisors (236592).

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

96720 is a wasteful number, since it uses less digits than its factorization.

96720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 54 counting only the distinct ones).

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

The square root of 96720 is about 310.9983922788. The cubic root of 96720 is about 45.9027561343.

The spelling of 96720 in words is "ninety-six thousand, seven hundred twenty".