96355680 has 96 divisors (see below), whose sum is σ = 305399808. Its totient is φ = 25536000.

The previous prime is 96355663. The next prime is 96355703. The reversal of 96355680 is 8655369.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 91155 + ... + 92205.

It is an arithmetic number, because the mean of its divisors is an integer number (3181248).

Almost surely, 2^96355680 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 96355680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152699904).

96355680 is an abundant number, since it is smaller than the sum of its proper divisors (209044128).

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

96355680 is a wasteful number, since it uses less digits than its factorization.

96355680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 96355680 is about 9816.0929090958. The cubic root of 96355680 is about 458.4504889124.

The spelling of 96355680 in words is "ninety-six million, three hundred fifty-five thousand, six hundred eighty".