96566400 has 288 divisors, whose sum is σ = 394617600. Its totient is φ = 22026240.

The previous prime is 96566389. The next prime is 96566419. The reversal of 96566400 is 466569.

It is a happy number.

96566400 is a `hidden beast` number, since 9 + 6 + 5 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201361 + ... + 201839.

It is an arithmetic number, because the mean of its divisors is an integer number (1370200).

Almost surely, 2^96566400 is an apocalyptic number.

96566400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197308800).

96566400 is an abundant number, since it is smaller than the sum of its proper divisors (298051200).

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

96566400 is a wasteful number, since it uses less digits than its factorization.

96566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 96566400 is about 9826.8204420352. The cubic root of 96566400 is about 458.7844403409.

The spelling of 96566400 in words is "ninety-six million, five hundred sixty-six thousand, four hundred".