86856120 has 192 divisors, whose sum is σ = 309647520. Its totient is φ = 20984832.

The previous prime is 86856113. The next prime is 86856127. The reversal of 86856120 is 2165868.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86856113) and next prime (86856127).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86856127) 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 47 ways as a sum of consecutive naturals, for example, 313422 + ... + 313698.

Almost surely, 2^86856120 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 86856120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154823760).

86856120 is an abundant number, since it is smaller than the sum of its proper divisors (222791400).

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

86856120 is a wasteful number, since it uses less digits than its factorization.

86856120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 86856120 is about 9319.6630840390. The cubic root of 86856120 is about 442.8603595227.

The spelling of 86856120 in words is "eighty-six million, eight hundred fifty-six thousand, one hundred twenty".