86314140 has 144 divisors (see below), whose sum is σ = 295387680. Its totient is φ = 20908800.

The previous prime is 86314139. The next prime is 86314177. The reversal of 86314140 is 4141368.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64680 + ... + 66000.

Almost surely, 2^86314140 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 86314140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147693840).

86314140 is an abundant number, since it is smaller than the sum of its proper divisors (209073540).

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

86314140 is a wasteful number, since it uses less digits than its factorization.

86314140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 86314140 is about 9290.5403502703. The cubic root of 86314140 is about 441.9372910496.

The spelling of 86314140 in words is "eighty-six million, three hundred fourteen thousand, one hundred forty".