86306816 has 52 divisors (see below), whose sum is σ = 181840200. Its totient is φ = 40845312.

The previous prime is 86306783. The next prime is 86306837. The reversal of 86306816 is 61860368.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 86306816.

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, 77270 + ... + 78378.

Almost surely, 2^86306816 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 86306816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90920100).

86306816 is an abundant number, since it is smaller than the sum of its proper divisors (95533384).

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

86306816 is a wasteful number, since it uses less digits than its factorization.

86306816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 86306816 is about 9290.1461775367. The cubic root of 86306816 is about 441.9247908178.

The spelling of 86306816 in words is "eighty-six million, three hundred six thousand, eight hundred sixteen".