96091776 has 96 divisors (see below), whose sum is σ = 301691520. Its totient is φ = 29114880.

The previous prime is 96091771. The next prime is 96091781. The reversal of 96091776 is 67719069.

It is an interprime number because it is at equal distance from previous prime (96091771) and next prime (96091781).

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (96091771) 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 11 ways as a sum of consecutive naturals, for example, 8881 + ... + 16463.

It is an arithmetic number, because the mean of its divisors is an integer number (3142620).

Almost surely, 2^96091776 is an apocalyptic number.

96091776 is a gapful number since it is divisible by the number (96) 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 96091776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150845760).

96091776 is an abundant number, since it is smaller than the sum of its proper divisors (205599744).

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

96091776 is a wasteful number, since it uses less digits than its factorization.

96091776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7614 (or 7599 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 96091776 is about 9802.6412767172. The cubic root of 96091776 is about 458.0315634572.

The spelling of 96091776 in words is "ninety-six million, ninety-one thousand, seven hundred seventy-six".