86814140 has 48 divisors (see below), whose sum is σ = 210302400. Its totient is φ = 29486592.

The previous prime is 86814113. The next prime is 86814149. The reversal of 86814140 is 4141868.

It is a junction number, because it is equal to n+sod(n) for n = 86814097 and 86814106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86814149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12416 + ... + 18104.

It is an arithmetic number, because the mean of its divisors is an integer number (4381300).

Almost surely, 2^86814140 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 86814140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105151200).

86814140 is an abundant number, since it is smaller than the sum of its proper divisors (123488260).

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

86814140 is a wasteful number, since it uses less digits than its factorization.

86814140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5814 (or 5812 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 86814140 is about 9317.4105844918. The cubic root of 86814140 is about 442.7889990785.

It can be divided in two parts, 8681 and 4140, that added together give a palindrome (12821).

The spelling of 86814140 in words is "eighty-six million, eight hundred fourteen thousand, one hundred forty".