87086336 has 36 divisors (see below), whose sum is σ = 174982752. Its totient is φ = 43255296.

The previous prime is 87086323. The next prime is 87086353. The reversal of 87086336 is 63368078.

It is a junction number, because it is equal to n+sod(n) for n = 87086293 and 87086302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40685 + ... + 42771.

It is an arithmetic number, because the mean of its divisors is an integer number (4860632).

Almost surely, 2^87086336 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 87086336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87491376).

87086336 is an abundant number, since it is smaller than the sum of its proper divisors (87896416).

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

87086336 is a wasteful number, since it uses less digits than its factorization.

87086336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 87086336 is about 9332.0060008553. The cubic root of 87086336 is about 443.2512880126.

The spelling of 87086336 in words is "eighty-seven million, eighty-six thousand, three hundred thirty-six".