86850840 has 128 divisors (see below), whose sum is σ = 276664320. Its totient is φ = 21772800.

The previous prime is 86850817. The next prime is 86850847. The reversal of 86850840 is 4805868.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86850847) 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 31 ways as a sum of consecutive naturals, for example, 137325 + ... + 137955.

It is an arithmetic number, because the mean of its divisors is an integer number (2161440).

Almost surely, 2^86850840 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 86850840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138332160).

86850840 is an abundant number, since it is smaller than the sum of its proper divisors (189813480).

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

86850840 is a wasteful number, since it uses less digits than its factorization.

86850840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 86850840 is about 9319.3798076911. The cubic root of 86850840 is about 442.8513854858.

The spelling of 86850840 in words is "eighty-six million, eight hundred fifty thousand, eight hundred forty".