96756 has 24 divisors (see below), whose sum is σ = 246624. Its totient is φ = 29280.

The previous prime is 96749. The next prime is 96757. The reversal of 96756 is 65769.

96756 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 96756.

It is not an unprimeable number, because it can be changed into a prime (96757) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 235 + ... + 498.

It is an arithmetic number, because the mean of its divisors is an integer number (10276).

2⁹⁶⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

96756 is an abundant number, since it is smaller than the sum of its proper divisors (149868).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123312).

96756 is a wasteful number, since it uses less digits than its factorization.

96756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 749 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 96756 is about 311.0562650068. The cubic root of 96756 is about 45.9084505589.

The spelling of 96756 in words is "ninety-six thousand, seven hundred fifty-six".