87185616 has 80 divisors (see below), whose sum is σ = 264399744. Its totient is φ = 24233472.

The previous prime is 87185597. The next prime is 87185647. The reversal of 87185616 is 61658178.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8926 + ... + 15938.

Almost surely, 2^87185616 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 87185616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132199872).

87185616 is an abundant number, since it is smaller than the sum of its proper divisors (177214128).

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

87185616 is a wasteful number, since it uses less digits than its factorization.

87185616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7068 (or 7062 counting only the distinct ones).

The product of its digits is 80640, while the sum is 42.

The square root of 87185616 is about 9337.3238135988. The cubic root of 87185616 is about 443.4196622105.

The spelling of 87185616 in words is "eighty-seven million, one hundred eighty-five thousand, six hundred sixteen".