96827184360 has 192 divisors, whose sum is σ = 329417487360. Its totient is φ = 24635520000.

The previous prime is 96827184341. The next prime is 96827184367. The reversal of 96827184360 is 6348172869.

96827184360 is a `hidden beast` number, since 9 + 6 + 8 + 271 + 8 + 4 + 360 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 96827184297 and 96827184306.

It is not an unprimeable number, because it can be changed into a prime (96827184367) 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, 731260 + ... + 853460.

It is an arithmetic number, because the mean of its divisors is an integer number (1715716080).

Almost surely, 2^96827184360 is an apocalyptic number.

96827184360 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 96827184360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164708743680).

96827184360 is an abundant number, since it is smaller than the sum of its proper divisors (232590303000).

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

96827184360 is a wasteful number, since it uses less digits than its factorization.

96827184360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122320 (or 122313 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 96827184360 in words is "ninety-six billion, eight hundred twenty-seven million, one hundred eighty-four thousand, three hundred sixty".