96085800 has 72 divisors (see below), whose sum is σ = 322694190. Its totient is φ = 25622400.

The previous prime is 96085783. The next prime is 96085811. The reversal of 96085800 is 858069.

It can be written as a sum of positive squares in 3 ways, for example, as 52446564 + 43639236 = 7242^2 + 6606^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 24891 + ... + 28490.

Almost surely, 2^96085800 is an apocalyptic number.

96085800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96085800 is an abundant number, since it is smaller than the sum of its proper divisors (226608390).

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

96085800 is a wasteful number, since it uses less digits than its factorization.

96085800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53403 (or 53391 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 96085800 is about 9802.3364561721. The cubic root of 96085800 is about 458.0220681827.

The spelling of 96085800 in words is "ninety-six million, eighty-five thousand, eight hundred".