96432 has 60 divisors (see below), whose sum is σ = 296856. Its totient is φ = 26880.

The previous prime is 96431. The next prime is 96443. The reversal of 96432 is 23469.

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

96432 is a modest number, since divided by 432 gives 96 as remainder.

It is a nialpdrome in base 7 and base 10.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (96431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2332 + ... + 2372.

2⁹⁶⁴³² 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 96432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148428).

96432 is an abundant number, since it is smaller than the sum of its proper divisors (200424).

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

96432 is a wasteful number, since it uses less digits than its factorization.

96432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 53 counting only the distinct ones).

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

The square root of 96432 is about 310.5350221795. The cubic root of 96432 is about 45.8571497892.

It can be divided in two parts, 96 and 432, that added together give a triangular number (528 = T₃₂).

The spelling of 96432 in words is "ninety-six thousand, four hundred thirty-two".