96816720 has 480 divisors, whose sum is σ = 418258944. Its totient is φ = 17971200.

The previous prime is 96816691. The next prime is 96816721. The reversal of 96816720 is 2761869.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96816721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3123105 + ... + 3123135.

Almost surely, 2^96816720 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 96816720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209129472).

96816720 is an abundant number, since it is smaller than the sum of its proper divisors (321442224).

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

96816720 is a wasteful number, since it uses less digits than its factorization.

96816720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 96816720 is about 9839.5487701419. The cubic root of 96816720 is about 459.1805195555.

The spelling of 96816720 in words is "ninety-six million, eight hundred sixteen thousand, seven hundred twenty".