96257808 has 150 divisors (see below), whose sum is σ = 297101706. Its totient is φ = 30081024.

The previous prime is 96257803. The next prime is 96257813. The reversal of 96257808 is 80875269.

It is an interprime number because it is at equal distance from previous prime (96257803) and next prime (96257813).

It can be written as a sum of positive squares in 3 ways, for example, as 69755904 + 26501904 = 8352^2 + 5148^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96257801) 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 29 ways as a sum of consecutive naturals, for example, 374416 + ... + 374672.

Almost surely, 2^96257808 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 96257808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148550853).

96257808 is an abundant number, since it is smaller than the sum of its proper divisors (200843898).

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

96257808 is a wasteful number, since it uses less digits than its factorization.

96257808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 96257808 is about 9811.1063596314. The cubic root of 96257808 is about 458.2952146664.

The spelling of 96257808 in words is "ninety-six million, two hundred fifty-seven thousand, eight hundred eight".