96024000 has 112 divisors (see below), whose sum is σ = 317150496. Its totient is φ = 25600000.

The previous prime is 96023999. The next prime is 96024037. The reversal of 96024000 is 42069.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22000 + ... + 26000.

Almost surely, 2^96024000 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 96024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158575248).

96024000 is an abundant number, since it is smaller than the sum of its proper divisors (221126496).

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

96024000 is a wasteful number, since it uses less digits than its factorization.

96024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4031 (or 4011 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 96024000 is about 9799.1836394671. The cubic root of 96024000 is about 457.9238509834.

Adding to 96024000 its reverse (42069), we get a palindrome (96066069).

It can be divided in two parts, 960 and 24000, that multiplied together give a square (23040000 = 4800²).

The spelling of 96024000 in words is "ninety-six million, twenty-four thousand".