96335680 has 112 divisors (see below), whose sum is σ = 271393920. Its totient is φ = 31868928.

The previous prime is 96335669. The next prime is 96335689. The reversal of 96335680 is 8653369.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96335689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64219 + ... + 65701.

It is an arithmetic number, because the mean of its divisors is an integer number (2423160).

Almost surely, 2^96335680 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 96335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135696960).

96335680 is an abundant number, since it is smaller than the sum of its proper divisors (175058240).

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

96335680 is a wasteful number, since it uses less digits than its factorization.

96335680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 96335680 is about 9815.0741209631. The cubic root of 96335680 is about 458.4187673981.

The spelling of 96335680 in words is "ninety-six million, three hundred thirty-five thousand, six hundred eighty".