86846816 has 72 divisors (see below), whose sum is σ = 201297096. Its totient is φ = 36771840.

The previous prime is 86846803. The next prime is 86846831. The reversal of 86846816 is 61864868.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151811 + ... + 152381.

It is an arithmetic number, because the mean of its divisors is an integer number (2795793).

Almost surely, 2^86846816 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 86846816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100648548).

86846816 is an abundant number, since it is smaller than the sum of its proper divisors (114450280).

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

86846816 is a wasteful number, since it uses less digits than its factorization.

86846816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 677 counting only the distinct ones).

The product of its digits is 442368, while the sum is 47.

The square root of 86846816 is about 9319.1639109954. The cubic root of 86846816 is about 442.8445459377.

The spelling of 86846816 in words is "eighty-six million, eight hundred forty-six thousand, eight hundred sixteen".