96097680 has 240 divisors, whose sum is σ = 385332480. Its totient is φ = 20984832.

The previous prime is 96097669. The next prime is 96097681. The reversal of 96097680 is 8679069.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (96097681) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 115506 + ... + 116334.

It is an arithmetic number, because the mean of its divisors is an integer number (1605552).

Almost surely, 2^96097680 is an apocalyptic number.

96097680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96097680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192666240).

96097680 is an abundant number, since it is smaller than the sum of its proper divisors (289234800).

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

96097680 is a wasteful number, since it uses less digits than its factorization.

96097680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 96097680 is about 9802.9424154179. The cubic root of 96097680 is about 458.0409439442.

The spelling of 96097680 in words is "ninety-six million, ninety-seven thousand, six hundred eighty".