96744 has 32 divisors (see below), whose sum is σ = 252000. Its totient is φ = 30912.

The previous prime is 96739. The next prime is 96749. The reversal of 96744 is 44769.

It is an interprime number because it is at equal distance from previous prime (96739) and next prime (96749).

It is a d-powerful number, because it can be written as 9⁴ + 6⁵ + 7⁵ + 4³ + 4⁸ .

It is not an unprimeable number, because it can be changed into a prime (96749) by changing a digit.

96744 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 627 + ... + 765.

It is an arithmetic number, because the mean of its divisors is an integer number (7875).

2⁹⁶⁷⁴⁴ 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 96744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126000).

96744 is an abundant number, since it is smaller than the sum of its proper divisors (155256).

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

96744 is a wasteful number, since it uses less digits than its factorization.

96744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 173 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 96744 is about 311.0369752939. The cubic root of 96744 is about 45.9065525743.

The spelling of 96744 in words is "ninety-six thousand, seven hundred forty-four".