96432000 has 384 divisors, whose sum is σ = 380933280. Its totient is φ = 21504000.

The previous prime is 96431977. The next prime is 96432001. The reversal of 96432000 is 23469.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96432001) 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, 2351980 + ... + 2352020.

Almost surely, 2^96432000 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 96432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190466640).

96432000 is an abundant number, since it is smaller than the sum of its proper divisors (284501280).

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

96432000 is a wasteful number, since it uses less digits than its factorization.

96432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 96432000 is about 9819.9796333801. The cubic root of 96432000 is about 458.5714978920.

Adding to 96432000 its reverse (23469), we get a palindrome (96455469).

The spelling of 96432000 in words is "ninety-six million, four hundred thirty-two thousand".