96805248 has 64 divisors (see below), whose sum is σ = 266036400. Its totient is φ = 31152128.

The previous prime is 96805243. The next prime is 96805249. The reversal of 96805248 is 84250869.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96805243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6790 + ... + 15482.

Almost surely, 2^96805248 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 96805248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133018200).

96805248 is an abundant number, since it is smaller than the sum of its proper divisors (169231152).

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

96805248 is a wasteful number, since it uses less digits than its factorization.

96805248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8739 (or 8727 counting only the distinct ones).

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

The square root of 96805248 is about 9838.9657993104. The cubic root of 96805248 is about 459.1623824438.

The spelling of 96805248 in words is "ninety-six million, eight hundred five thousand, two hundred forty-eight".