86814360 has 96 divisors (see below), whose sum is σ = 283608000. Its totient is φ = 23030784.

The previous prime is 86814337. The next prime is 86814361. The reversal of 86814360 is 6341868.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86814361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85536 + ... + 86544.

It is an arithmetic number, because the mean of its divisors is an integer number (2954250).

Almost surely, 2^86814360 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 86814360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141804000).

86814360 is an abundant number, since it is smaller than the sum of its proper divisors (196793640).

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

86814360 is a wasteful number, since it uses less digits than its factorization.

86814360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 86814360 is about 9317.4223903395. The cubic root of 86814360 is about 442.7893731093.

It can be divided in two parts, 8681 and 4360, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 86814360 in words is "eighty-six million, eight hundred fourteen thousand, three hundred sixty".