86010940 has 48 divisors (see below), whose sum is σ = 189528192. Its totient is φ = 32749056.

The previous prime is 86010901. The next prime is 86010941. The reversal of 86010940 is 4901068.

It is a junction number, because it is equal to n+sod(n) for n = 86010899 and 86010908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86010941) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 33544 + ... + 36016.

It is an arithmetic number, because the mean of its divisors is an integer number (3948504).

Almost surely, 2^86010940 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 86010940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94764096).

86010940 is an abundant number, since it is smaller than the sum of its proper divisors (103517252).

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

86010940 is a wasteful number, since it uses less digits than its factorization.

86010940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 86010940 is about 9274.2083220079. The cubic root of 86010940 is about 441.4192122003.

The spelling of 86010940 in words is "eighty-six million, ten thousand, nine hundred forty".