96430800 has 240 divisors, whose sum is σ = 340424640. Its totient is φ = 23224320.

The previous prime is 96430787. The next prime is 96430819. The reversal of 96430800 is 803469.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 591519 + ... + 591681.

It is an arithmetic number, because the mean of its divisors is an integer number (1418436).

Almost surely, 2^96430800 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 96430800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170212320).

96430800 is an abundant number, since it is smaller than the sum of its proper divisors (243993840).

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

96430800 is a wasteful number, since it uses less digits than its factorization.

96430800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 96430800 is about 9819.9185332670. The cubic root of 96430800 is about 458.5695957292.

The spelling of 96430800 in words is "ninety-six million, four hundred thirty thousand, eight hundred".