96835600 has 60 divisors (see below), whose sum is σ = 234887620. Its totient is φ = 38361600.

The previous prime is 96835597. The next prime is 96835631. The reversal of 96835600 is 653869.

It can be written as a sum of positive squares in 6 ways, for example, as 246016 + 96589584 = 496^2 + 9828^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 96835600.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42490 + ... + 44710.

Almost surely, 2^96835600 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 96835600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117443810).

96835600 is an abundant number, since it is smaller than the sum of its proper divisors (138052020).

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

96835600 is a wasteful number, since it uses less digits than its factorization.

96835600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 96835600 is about 9840.5081169623. The cubic root of 96835600 is about 459.2103655185.

The spelling of 96835600 in words is "ninety-six million, eight hundred thirty-five thousand, six hundred".