86784516 has 144 divisors (see below), whose sum is σ = 275184000. Its totient is φ = 22450176.

The previous prime is 86784493. The next prime is 86784521. The reversal of 86784516 is 61548768.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193060 + ... + 193508.

It is an arithmetic number, because the mean of its divisors is an integer number (1911000).

Almost surely, 2^86784516 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 86784516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592000).

86784516 is an abundant number, since it is smaller than the sum of its proper divisors (188399484).

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

86784516 is a wasteful number, since it uses less digits than its factorization.

86784516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 533 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 86784516 is about 9315.8207367896. The cubic root of 86784516 is about 442.7386283532.

The spelling of 86784516 in words is "eighty-six million, seven hundred eighty-four thousand, five hundred sixteen".