96582000 has 80 divisors (see below), whose sum is σ = 311399712. Its totient is φ = 25753600.

The previous prime is 96581987. The next prime is 96582001. The reversal of 96582000 is 28569.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96582001) 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 15 ways as a sum of consecutive naturals, for example, 2049 + ... + 14048.

Almost surely, 2^96582000 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 96582000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155699856).

96582000 is an abundant number, since it is smaller than the sum of its proper divisors (214817712).

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

96582000 is a wasteful number, since it uses less digits than its factorization.

96582000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16123 (or 16107 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 96582000 is about 9827.6141560401. The cubic root of 96582000 is about 458.8091440746.

The spelling of 96582000 in words is "ninety-six million, five hundred eighty-two thousand".