96285312 has 192 divisors, whose sum is σ = 300736800. Its totient is φ = 29472768.

The previous prime is 96285247. The next prime is 96285317. The reversal of 96285312 is 21358269.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×96285312² = 18541722613874688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (25920) is a multiple of the sum of its prime divisors (160).

It is not an unprimeable number, because it can be changed into a prime (96285317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1160023 + ... + 1160105.

Almost surely, 2^96285312 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 96285312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150368400).

96285312 is an abundant number, since it is smaller than the sum of its proper divisors (204451488).

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

96285312 is a wasteful number, since it uses less digits than its factorization.

96285312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 160 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 96285312 is about 9812.5079363025. The cubic root of 96285312 is about 458.3388604806.

The spelling of 96285312 in words is "ninety-six million, two hundred eighty-five thousand, three hundred twelve".