96458208 has 96 divisors (see below), whose sum is σ = 315705600. Its totient is φ = 25052160.

The previous prime is 96458191. The next prime is 96458209. The reversal of 96458208 is 80285469.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 96458208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96458209) 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 15 ways as a sum of consecutive naturals, for example, 868 + ... + 13916.

It is an arithmetic number, because the mean of its divisors is an integer number (3288600).

Almost surely, 2^96458208 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 96458208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157852800).

96458208 is an abundant number, since it is smaller than the sum of its proper divisors (219247392).

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

96458208 is a wasteful number, since it uses less digits than its factorization.

96458208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13080 (or 13072 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 96458208 is about 9821.3139650456. The cubic root of 96458208 is about 458.6130371916.

The spelling of 96458208 in words is "ninety-six million, four hundred fifty-eight thousand, two hundred eight".