86814260 has 48 divisors (see below), whose sum is σ = 202685952. Its totient is φ = 31017600.

The previous prime is 86814251. The next prime is 86814263. The reversal of 86814260 is 6241868.

It is a self number, because there is not a number n which added to its sum of digits gives 86814260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86814263) 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 15 ways as a sum of consecutive naturals, for example, 2675 + ... + 13445.

It is an arithmetic number, because the mean of its divisors is an integer number (4222624).

Almost surely, 2^86814260 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 86814260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101342976).

86814260 is an abundant number, since it is smaller than the sum of its proper divisors (115871692).

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

86814260 is a wasteful number, since it uses less digits than its factorization.

86814260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10824 (or 10822 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 86814260 is about 9317.4170240470. The cubic root of 86814260 is about 442.7892030954.

The spelling of 86814260 in words is "eighty-six million, eight hundred fourteen thousand, two hundred sixty".