96248000 has 112 divisors (see below), whose sum is σ = 243925344. Its totient is φ = 37606400.

The previous prime is 96247997. The next prime is 96248011. The reversal of 96248000 is 84269.

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 15 ways as a sum of consecutive naturals, for example, 423887 + ... + 424113.

Almost surely, 2^96248000 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 96248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121962672).

96248000 is an abundant number, since it is smaller than the sum of its proper divisors (147677344).

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

96248000 is a wasteful number, since it uses less digits than its factorization.

96248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 96248000 is about 9810.6065052065. The cubic root of 96248000 is about 458.2796484412.

The spelling of 96248000 in words is "ninety-six million, two hundred forty-eight thousand".