86818860 has 72 divisors (see below), whose sum is σ = 267701616. Its totient is φ = 22769280.

The previous prime is 86818843. The next prime is 86818861. The reversal of 86818860 is 6881868.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (86818861) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7027 + ... + 14933.

It is an arithmetic number, because the mean of its divisors is an integer number (3718078).

Almost surely, 2^86818860 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 86818860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133850808).

86818860 is an abundant number, since it is smaller than the sum of its proper divisors (180882756).

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

86818860 is a wasteful number, since it uses less digits than its factorization.

86818860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7983 (or 7978 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 86818860 is about 9317.6638703057. The cubic root of 86818860 is about 442.7970236015.

It can be divided in two parts, 86818 and 860, that added together give a palindrome (87678).

The spelling of 86818860 in words is "eighty-six million, eight hundred eighteen thousand, eight hundred sixty".