96210240 has 224 divisors, whose sum is σ = 355031040. Its totient is φ = 21620736.

The previous prime is 96210209. The next prime is 96210241. The reversal of 96210240 is 4201269.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 96210240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96210241) 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 31 ways as a sum of consecutive naturals, for example, 692091 + ... + 692229.

It is an arithmetic number, because the mean of its divisors is an integer number (1584960).

Almost surely, 2^96210240 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 96210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177515520).

96210240 is an abundant number, since it is smaller than the sum of its proper divisors (258820800).

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

96210240 is a wasteful number, since it uses less digits than its factorization.

96210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 96210240 is about 9808.6818686305. The cubic root of 96210240 is about 458.2197098693.

The spelling of 96210240 in words is "ninety-six million, two hundred ten thousand, two hundred forty".