96283824 has 240 divisors, whose sum is σ = 322979328. Its totient is φ = 24482304.

The previous prime is 96283793. The next prime is 96283829. The reversal of 96283824 is 42838269.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (96283829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1437039 + ... + 1437105.

Almost surely, 2^96283824 is an apocalyptic number.

96283824 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96283824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161489664).

96283824 is an abundant number, since it is smaller than the sum of its proper divisors (226695504).

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

96283824 is a wasteful number, since it uses less digits than its factorization.

96283824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 139 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 96283824 is about 9812.4321144149. The cubic root of 96283824 is about 458.3364994015.

The spelling of 96283824 in words is "ninety-six million, two hundred eighty-three thousand, eight hundred twenty-four".