96493152 has 144 divisors (see below), whose sum is σ = 299747952. Its totient is φ = 27095040.

The previous prime is 96493141. The next prime is 96493171. The reversal of 96493152 is 25139469.

It is a self number, because there is not a number n which added to its sum of digits gives 96493152.

It is a congruent number.

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 343252 + ... + 343532.

It is an arithmetic number, because the mean of its divisors is an integer number (2081583).

Almost surely, 2^96493152 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 96493152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149873976).

96493152 is an abundant number, since it is smaller than the sum of its proper divisors (203254800).

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

96493152 is a wasteful number, since it uses less digits than its factorization.

96493152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 366 counting only the distinct ones).

The product of its digits is 58320, while the sum is 39.

The square root of 96493152 is about 9823.0927919877. The cubic root of 96493152 is about 458.6684112217.

The spelling of 96493152 in words is "ninety-six million, four hundred ninety-three thousand, one hundred fifty-two".