96434800 has 240 divisors, whose sum is σ = 301123584. Its totient is φ = 28800000.

The previous prime is 96434771. The next prime is 96434801. The reversal of 96434800 is 843469.

96434800 = T₁₅₄₄ + T₁₅₄₅ + ... + T₁₆₂₀.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96434801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 954750 + ... + 954850.

Almost surely, 2^96434800 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 96434800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150561792).

96434800 is an abundant number, since it is smaller than the sum of its proper divisors (204688784).

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

96434800 is a wasteful number, since it uses less digits than its factorization.

96434800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 96434800 is about 9820.1221988324. The cubic root of 96434800 is about 458.5759362104.

The spelling of 96434800 in words is "ninety-six million, four hundred thirty-four thousand, eight hundred".