96487776 has 288 divisors, whose sum is σ = 361670400. Its totient is φ = 23639040.

The previous prime is 96487771. The next prime is 96487777. The reversal of 96487776 is 67778469.

96487776 is a `hidden beast` number, since 96 + 487 + 7 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96487771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421230 + ... + 421458.

It is an arithmetic number, because the mean of its divisors is an integer number (1255800).

Almost surely, 2^96487776 is an apocalyptic number.

96487776 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 96487776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180835200).

96487776 is an abundant number, since it is smaller than the sum of its proper divisors (265182624).

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

96487776 is a wasteful number, since it uses less digits than its factorization.

96487776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 271 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The square root of 96487776 is about 9822.8191472713. The cubic root of 96487776 is about 458.6598930104.

It can be divided in two parts, 9648 and 7776, that added together give a square (17424 = 132²).

The spelling of 96487776 in words is "ninety-six million, four hundred eighty-seven thousand, seven hundred seventy-six".