87096816 has 80 divisors (see below), whose sum is σ = 256804000. Its totient is φ = 28242432.

The previous prime is 87096787. The next prime is 87096827. The reversal of 87096816 is 61869078.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13260 + ... + 18708.

It is an arithmetic number, because the mean of its divisors is an integer number (3210050).

Almost surely, 2^87096816 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 87096816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128402000).

87096816 is an abundant number, since it is smaller than the sum of its proper divisors (169707184).

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

87096816 is a wasteful number, since it uses less digits than its factorization.

87096816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5503 (or 5491 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 87096816 is about 9332.5674923892. The cubic root of 87096816 is about 443.2690676375.

The spelling of 87096816 in words is "eighty-seven million, ninety-six thousand, eight hundred sixteen".