96342144 has 64 divisors (see below), whose sum is σ = 258876000. Its totient is φ = 31741952.

The previous prime is 96342139. The next prime is 96342161. The reversal of 96342144 is 44124369.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32767 + ... + 35585.

Almost surely, 2^96342144 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 96342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129438000).

96342144 is an abundant number, since it is smaller than the sum of its proper divisors (162533856).

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

96342144 is a wasteful number, since it uses less digits than its factorization.

96342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2925 (or 2913 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 96342144 is about 9815.4034048530. The cubic root of 96342144 is about 458.4290202717.

The spelling of 96342144 in words is "ninety-six million, three hundred forty-two thousand, one hundred forty-four".