96685680 has 320 divisors, whose sum is σ = 389975040. Its totient is φ = 19243008.

The previous prime is 96685663. The next prime is 96685691. The reversal of 96685680 is 8658669.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 414844 + ... + 415076.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672).

Almost surely, 2^96685680 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 96685680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

96685680 is an abundant number, since it is smaller than the sum of its proper divisors (293289360).

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

96685680 is a wasteful number, since it uses less digits than its factorization.

96685680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 96685680 is about 9832.8876735169. The cubic root of 96685680 is about 458.9732613375.

The spelling of 96685680 in words is "ninety-six million, six hundred eighty-five thousand, six hundred eighty".