86581016 has 64 divisors (see below), whose sum is σ = 179435520. Its totient is φ = 39029760.

The previous prime is 86581013. The next prime is 86581049. The reversal of 86581016 is 61018568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86581013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245096 + ... + 245448.

It is an arithmetic number, because the mean of its divisors is an integer number (2803680).

Almost surely, 2^86581016 is an apocalyptic number.

86581016 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

86581016 is an abundant number, since it is smaller than the sum of its proper divisors (92854504).

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

86581016 is a wasteful number, since it uses less digits than its factorization.

86581016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 86581016 is about 9304.8920466602. The cubic root of 86581016 is about 442.3922999618.

The spelling of 86581016 in words is "eighty-six million, five hundred eighty-one thousand, sixteen".