96294432 has 192 divisors, whose sum is σ = 298045440. Its totient is φ = 26956800.

The previous prime is 96294421. The next prime is 96294433. The reversal of 96294432 is 23449269.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (96294433) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 735007 + ... + 735137.

It is an arithmetic number, because the mean of its divisors is an integer number (1552320).

Almost surely, 2^96294432 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 96294432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149022720).

96294432 is an abundant number, since it is smaller than the sum of its proper divisors (201751008).

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

96294432 is a wasteful number, since it uses less digits than its factorization.

96294432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 199 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The square root of 96294432 is about 9812.9726382988. The cubic root of 96294432 is about 458.3533310797.

It can be divided in two parts, 96 and 294432, that added together give a triangular number (294528 = T₇₆₇).

The spelling of 96294432 in words is "ninety-six million, two hundred ninety-four thousand, four hundred thirty-two".