86538816 has 252 divisors, whose sum is σ = 309384192. Its totient is φ = 22643712.

The previous prime is 86538791. The next prime is 86538821. The reversal of 86538816 is 61883568.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 681345 + ... + 681471.

Almost surely, 2^86538816 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 86538816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154692096).

86538816 is an abundant number, since it is smaller than the sum of its proper divisors (222845376).

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

86538816 is a wasteful number, since it uses less digits than its factorization.

86538816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 152 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 86538816 is about 9302.6241459064. The cubic root of 86538816 is about 442.3204135759.

The spelling of 86538816 in words is "eighty-six million, five hundred thirty-eight thousand, eight hundred sixteen".