87096600 has 144 divisors (see below), whose sum is σ = 302380200. Its totient is φ = 23042880.

The previous prime is 87096563. The next prime is 87096601. The reversal of 87096600 is 669078.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87096601) 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 35 ways as a sum of consecutive naturals, for example, 685737 + ... + 685863.

Almost surely, 2^87096600 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 87096600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151190100).

87096600 is an abundant number, since it is smaller than the sum of its proper divisors (215283600).

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

87096600 is a wasteful number, since it uses less digits than its factorization.

87096600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 87096600 is about 9332.5559200039. Note that the first 3 decimals coincide. The cubic root of 87096600 is about 443.2687012016.

The spelling of 87096600 in words is "eighty-seven million, ninety-six thousand, six hundred".