96786456 has 128 divisors (see below), whose sum is σ = 284256000. Its totient is φ = 27191808.

The previous prime is 96786449. The next prime is 96786479. The reversal of 96786456 is 65468769.

It is a junction number, because it is equal to n+sod(n) for n = 96786399 and 96786408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171631 + ... + 172193.

It is an arithmetic number, because the mean of its divisors is an integer number (2220750).

Almost surely, 2^96786456 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 96786456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142128000).

96786456 is an abundant number, since it is smaller than the sum of its proper divisors (187469544).

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

96786456 is a wasteful number, since it uses less digits than its factorization.

96786456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 629 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The square root of 96786456 is about 9838.0107745418. The cubic root of 96786456 is about 459.1326693925.

The spelling of 96786456 in words is "ninety-six million, seven hundred eighty-six thousand, four hundred fifty-six".