96390432 has 96 divisors (see below), whose sum is σ = 290908800. Its totient is φ = 31014144.

The previous prime is 96390389. The next prime is 96390433. The reversal of 96390432 is 23409369.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×96390432² = 18582230762293248, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (96390433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23133 + ... + 26979.

It is an arithmetic number, because the mean of its divisors is an integer number (3030300).

Almost surely, 2^96390432 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 96390432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145454400).

96390432 is an abundant number, since it is smaller than the sum of its proper divisors (194518368).

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

96390432 is a wasteful number, since it uses less digits than its factorization.

96390432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3895 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 96390432 is about 9817.8629039114. The cubic root of 96390432 is about 458.5055977771.

The spelling of 96390432 in words is "ninety-six million, three hundred ninety thousand, four hundred thirty-two".