96756000 has 192 divisors, whose sum is σ = 346260096. Its totient is φ = 23424000.

The previous prime is 96755987. The next prime is 96756001. The reversal of 96756000 is 65769.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96756001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131634 + ... + 132366.

It is an arithmetic number, because the mean of its divisors is an integer number (1803438).

Almost surely, 2^96756000 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 96756000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173130048).

96756000 is an abundant number, since it is smaller than the sum of its proper divisors (249504096).

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

96756000 is a wasteful number, since it uses less digits than its factorization.

96756000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 754 counting only the distinct ones).

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

The square root of 96756000 is about 9836.4627788652. The cubic root of 96756000 is about 459.0845055890.

The spelling of 96756000 in words is "ninety-six million, seven hundred fifty-six thousand".