96240 has 40 divisors (see below), whose sum is σ = 299088. Its totient is φ = 25600.

The previous prime is 96233. The next prime is 96259. The reversal of 96240 is 4269.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

96240 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 40 + ... + 440.

2⁹⁶²⁴⁰ 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 96240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149544).

96240 is an abundant number, since it is smaller than the sum of its proper divisors (202848).

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

96240 is a wasteful number, since it uses less digits than its factorization.

96240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 96240 is about 310.2257242719. The cubic root of 96240 is about 45.8266950900.

The spelling of 96240 in words is "ninety-six thousand, two hundred forty".